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BMF – May 2015 – L1 – SB – Q6 – Basics of Business Finance and Financial Markets

Describe the Boston Consulting Group (BCG) matrix used for business portfolio management.

Describe the Boston Consulting Group (BCG) matrix.

The Boston Consulting Group (BCG) matrix is a model by which businesses are
classified in relation to market growth and relative market share.
The strategy of each business is determined on the basis of the following factors:
(i) The growth rate of its market
(ii) The market share it enjoys

The matrix can be depicted by the following quadrant:

b. Product-Market Strategies:

i. Stars:
Stars operate in high-growth markets and dominate their sectors. They require substantial investment to maintain market position but promise high returns. The recommended product-market strategy is to continue heavy investment in advertising, promotion, and product development to ensure growth in market share and revenue.

ii. Question Marks (Problem Children):
These products operate in high-growth markets but have low market share. They create opportunities for long-term growth but need significant cash investments. The suggested strategy is to either invest heavily to turn them into stars or divest if the market position does not improve. This may involve strategic decisions like harvesting or liquidation.

iii. Cash Cows:
These products have high market share in low-growth markets. They generate consistent cash flows but offer limited growth opportunities. The strategy is to maintain or consolidate their position, using their revenue to fund other areas of the business that require investment (such as Stars or Question Marks).

iv. Dogs:
Dogs have low market share in low-growth markets, providing little to no profit potential. The strategy is often to divest or liquidate these products, as they are not worth the continued investment given their bleak future.

c. Weaknesses of the BCG Matrix:

  1. The model ignores the synergies between different business units, which can affect overall profitability.
  2. High market share does not always guarantee profitability, as it depends on other factors such as cost structure and competitive advantage.

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BMF – May 2015 – L1 – SB – Q6 – Basics of Business Finance and Financial Markets

Describe the Boston Consulting Group (BCG) matrix used for business portfolio management.

Describe the Boston Consulting Group (BCG) matrix.

The Boston Consulting Group (BCG) matrix is a model by which businesses are
classified in relation to market growth and relative market share.
The strategy of each business is determined on the basis of the following factors:
(i) The growth rate of its market
(ii) The market share it enjoys

The matrix can be depicted by the following quadrant:

b. Product-Market Strategies:

i. Stars:
Stars operate in high-growth markets and dominate their sectors. They require substantial investment to maintain market position but promise high returns. The recommended product-market strategy is to continue heavy investment in advertising, promotion, and product development to ensure growth in market share and revenue.

ii. Question Marks (Problem Children):
These products operate in high-growth markets but have low market share. They create opportunities for long-term growth but need significant cash investments. The suggested strategy is to either invest heavily to turn them into stars or divest if the market position does not improve. This may involve strategic decisions like harvesting or liquidation.

iii. Cash Cows:
These products have high market share in low-growth markets. They generate consistent cash flows but offer limited growth opportunities. The strategy is to maintain or consolidate their position, using their revenue to fund other areas of the business that require investment (such as Stars or Question Marks).

iv. Dogs:
Dogs have low market share in low-growth markets, providing little to no profit potential. The strategy is often to divest or liquidate these products, as they are not worth the continued investment given their bleak future.

c. Weaknesses of the BCG Matrix:

  1. The model ignores the synergies between different business units, which can affect overall profitability.
  2. High market share does not always guarantee profitability, as it depends on other factors such as cost structure and competitive advantage.

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BMF – May 2015 – L1 – SB – Q5b – Management, Individual, and Organisational Behaviour

Discuss hygiene factors and motivators in Herzberg’s two-factor theory.

Write briefly on the following:
i. Hygiene factors
ii. Motivators

i. Hygiene Factors: These are factors that can lead to dissatisfaction in the workplace if they are absent or inadequate, but their presence does not necessarily create satisfaction. They include aspects like working conditions, salary, company policies, job security, and relationships with supervisors and colleagues. Inadequate hygiene factors result in employee dissatisfaction, but improving these factors alone will not boost job satisfaction.

ii. Motivators: These are factors that positively influence job satisfaction and encourage employees to improve performance. They include recognition, responsibility, opportunities for advancement, achievement, and personal growth. Unlike hygiene factors, motivators directly impact an employee’s level of job satisfaction and contribute to higher levels of performance and motivation.

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BMF – May 2015 – L1 – SB – Q5b – Management, Individual, and Organisational Behaviour

Discuss hygiene factors and motivators in Herzberg’s two-factor theory.

Write briefly on the following:
i. Hygiene factors
ii. Motivators

i. Hygiene Factors: These are factors that can lead to dissatisfaction in the workplace if they are absent or inadequate, but their presence does not necessarily create satisfaction. They include aspects like working conditions, salary, company policies, job security, and relationships with supervisors and colleagues. Inadequate hygiene factors result in employee dissatisfaction, but improving these factors alone will not boost job satisfaction.

ii. Motivators: These are factors that positively influence job satisfaction and encourage employees to improve performance. They include recognition, responsibility, opportunities for advancement, achievement, and personal growth. Unlike hygiene factors, motivators directly impact an employee’s level of job satisfaction and contribute to higher levels of performance and motivation.

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BMF – May 2015 – L1 – SB – Q5a – Management, Individual, and Organisational Behaviour

List and explain the five levels of human needs as per Maslow’s hierarchy.

List and explain the FIVE general types of human needs in ascending order.

  1. Physiological Needs: These are the basic survival needs for human life, such as food, water, shelter, air, and clothing. In an organizational context, these are equated to adequate salary, heat, and air to ensure employees’ survival and well-being.
  2. Safety Needs: Once physiological needs are met, individuals seek protection and security, both physically and psychologically. In the workplace, this relates to job security, safe working conditions, and a stable environment free from physical harm.
  3. Belongingness/Social Needs: After safety, individuals look for social connections, love, and belonging. In an organization, this refers to forming relationships with colleagues and feeling accepted as part of a team. Employees value a friendly work environment and camaraderie among coworkers.
  4. Esteem Needs: These involve the need for recognition, respect, and self-esteem. Employees strive to achieve recognition for their work, which can be fulfilled through awards, promotions, or being acknowledged as valuable team members.
  5. Self-Actualization Needs: The highest level, where individuals strive to realize their full potential. In the workplace, this involves opportunities for personal growth, creativity, and achieving career goals. Managers can help employees meet these needs by providing challenging tasks and encouraging innovation.

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BMF – May 2015 – L1 – SB – Q5a – Management, Individual, and Organisational Behaviour

List and explain the five levels of human needs as per Maslow’s hierarchy.

List and explain the FIVE general types of human needs in ascending order.

  1. Physiological Needs: These are the basic survival needs for human life, such as food, water, shelter, air, and clothing. In an organizational context, these are equated to adequate salary, heat, and air to ensure employees’ survival and well-being.
  2. Safety Needs: Once physiological needs are met, individuals seek protection and security, both physically and psychologically. In the workplace, this relates to job security, safe working conditions, and a stable environment free from physical harm.
  3. Belongingness/Social Needs: After safety, individuals look for social connections, love, and belonging. In an organization, this refers to forming relationships with colleagues and feeling accepted as part of a team. Employees value a friendly work environment and camaraderie among coworkers.
  4. Esteem Needs: These involve the need for recognition, respect, and self-esteem. Employees strive to achieve recognition for their work, which can be fulfilled through awards, promotions, or being acknowledged as valuable team members.
  5. Self-Actualization Needs: The highest level, where individuals strive to realize their full potential. In the workplace, this involves opportunities for personal growth, creativity, and achieving career goals. Managers can help employees meet these needs by providing challenging tasks and encouraging innovation.

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BMF – May 2015 – L1 – SB – Q4 – Basics of Business Finance and Financial Markets

Discuss major cash flow items in capital investment projects and explain the payback period investment appraisal method.

a. List and explain FOUR major cashflow items to be included in a capital investment project. (8 Marks)
b.
i. Explain the payback period technique of investment appraisal. (4 Marks)
ii. State TWO advantages and TWO disadvantages of payback period. (8 Marks)

a. Major cashflow items to be included in a capital investment project:

  1. Initial capital outlay: This is the cash expenditure required at the beginning of the project, usually spent on fixed assets.
  2. Operating cash flows: These include cash inflows from sales and cash outflows for operating expenses like wages, utilities, and materials.
  3. Terminal cash flows: These are the cash flows at the end of the project, such as salvage value or disposal of assets.
  4. Incremental cash flows: These refer to the additional cash flows generated directly by the investment, which wouldn’t have been earned otherwise.

b. i. Payback Period Investment Appraisal Technique:
This technique calculates the time needed for the cash inflows generated by a project to recover the initial investment. It emphasizes liquidity by focusing on the period over which the project will generate enough cash inflows to cover the initial outlay. It does not take into account the time value of money or cash flows beyond the payback period.

ii. Advantages of Payback Period:

  1. Simple to calculate and understand.
  2. It is useful for projects where liquidity is important because it focuses on recovering the initial investment quickly.

Disadvantages of Payback Period:

  1. It ignores cash flows that occur after the payback period, potentially overlooking the profitability of longer-term projects.
  2. It does not consider the time value of money.

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BMF – May 2015 – L1 – SB – Q4 – Basics of Business Finance and Financial Markets

Discuss major cash flow items in capital investment projects and explain the payback period investment appraisal method.

a. List and explain FOUR major cashflow items to be included in a capital investment project. (8 Marks)
b.
i. Explain the payback period technique of investment appraisal. (4 Marks)
ii. State TWO advantages and TWO disadvantages of payback period. (8 Marks)

a. Major cashflow items to be included in a capital investment project:

  1. Initial capital outlay: This is the cash expenditure required at the beginning of the project, usually spent on fixed assets.
  2. Operating cash flows: These include cash inflows from sales and cash outflows for operating expenses like wages, utilities, and materials.
  3. Terminal cash flows: These are the cash flows at the end of the project, such as salvage value or disposal of assets.
  4. Incremental cash flows: These refer to the additional cash flows generated directly by the investment, which wouldn’t have been earned otherwise.

b. i. Payback Period Investment Appraisal Technique:
This technique calculates the time needed for the cash inflows generated by a project to recover the initial investment. It emphasizes liquidity by focusing on the period over which the project will generate enough cash inflows to cover the initial outlay. It does not take into account the time value of money or cash flows beyond the payback period.

ii. Advantages of Payback Period:

  1. Simple to calculate and understand.
  2. It is useful for projects where liquidity is important because it focuses on recovering the initial investment quickly.

Disadvantages of Payback Period:

  1. It ignores cash flows that occur after the payback period, potentially overlooking the profitability of longer-term projects.
  2. It does not consider the time value of money.

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BMF – May 2015 – L1 – SB – Q3 – The Role of Professional Accountants in Business and Society

Discuss reasons for government involvement in the Nigerian financial system and mechanisms for intervention.

a. State FIVE reasons for the increasing role of Government in the Nigerian Financial System.
(10 Marks)

b. State FIVE mechanisms for government intervention in the financial system.
(10 Marks)

a. Reasons for the Increasing Role of Government in the Nigerian Financial System:

  1. To maintain monetary stability: The government needs to ensure that the financial system remains stable to control inflation and manage the economy effectively.
  2. To promote economic growth: Government interventions are essential to stimulate growth and support the development of various sectors of the economy.
  3. To ensure healthy competition: By regulating the financial system, the government prevents monopolies and ensures fair competition, both domestically and internationally.
  4. To protect the public from fraud and exploitation: Government policies are crucial to safeguarding the public from unethical financial practices.
  5. To attract foreign investment: A stable financial system encourages international investors, contributing to the growth of the economy.

b. Mechanisms for Government Intervention in the Financial System:

  1. Open Market Operations (OMO): The government buys and sells treasury bills and bonds to control the money supply.
  2. Changes in monetary policy rates (MPR): Adjusting the MPR influences interest rates, which in turn affects borrowing and investment levels in the economy.
  3. Liquidity ratio adjustments: The government can change the liquidity ratio to control the amount of cash that banks must hold as reserves, impacting the availability of credit.
  4. Fiscal policy (taxation and spending): The government uses taxes and public spending to influence the financial system and stimulate or slow down the economy.
  5. Recapitalization of banks: To maintain stability, the government may require banks to recapitalize, ensuring that they have enough funds to meet their obligations.

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BMF – May 2015 – L1 – SB – Q3 – The Role of Professional Accountants in Business and Society

Discuss reasons for government involvement in the Nigerian financial system and mechanisms for intervention.

a. State FIVE reasons for the increasing role of Government in the Nigerian Financial System.
(10 Marks)

b. State FIVE mechanisms for government intervention in the financial system.
(10 Marks)

a. Reasons for the Increasing Role of Government in the Nigerian Financial System:

  1. To maintain monetary stability: The government needs to ensure that the financial system remains stable to control inflation and manage the economy effectively.
  2. To promote economic growth: Government interventions are essential to stimulate growth and support the development of various sectors of the economy.
  3. To ensure healthy competition: By regulating the financial system, the government prevents monopolies and ensures fair competition, both domestically and internationally.
  4. To protect the public from fraud and exploitation: Government policies are crucial to safeguarding the public from unethical financial practices.
  5. To attract foreign investment: A stable financial system encourages international investors, contributing to the growth of the economy.

b. Mechanisms for Government Intervention in the Financial System:

  1. Open Market Operations (OMO): The government buys and sells treasury bills and bonds to control the money supply.
  2. Changes in monetary policy rates (MPR): Adjusting the MPR influences interest rates, which in turn affects borrowing and investment levels in the economy.
  3. Liquidity ratio adjustments: The government can change the liquidity ratio to control the amount of cash that banks must hold as reserves, impacting the availability of credit.
  4. Fiscal policy (taxation and spending): The government uses taxes and public spending to influence the financial system and stimulate or slow down the economy.
  5. Recapitalization of banks: To maintain stability, the government may require banks to recapitalize, ensuring that they have enough funds to meet their obligations.

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BMF – May 2015 – L1 – SB – Q2 – The Business Environment

Discuss four external environmental factors that impact business operations.

Businesses do not operate in a vacuum. There is a combination of internal and external factors that affect how businesses function.
State and explain any FOUR external environmental factors that affect a business.

  1. Political Factors:
    Political factors affect the level of opportunities and threats within the business environment. Factors such as the stability of the political system, government policies, and regulations have a major influence on how businesses operate. A change in government or political instability can affect market conditions and disrupt business operations.
  2. Economic Factors:
    Economic conditions, including inflation rates, interest rates, economic growth, and exchange rates, play a crucial role in business performance. A strong economy encourages businesses to expand, whereas a weak economy may force businesses to downsize or halt operations.
  3. Socio-Cultural Factors:
    Socio-cultural aspects include the beliefs, values, attitudes, and lifestyles of people. These factors influence consumer behavior and market demand. A business must understand these cultural nuances to tailor products and services that meet the expectations of its customers.
  4. Technological Factors:
    The level of technological advancement within a country or industry determines the efficiency of production processes and service delivery. Businesses must keep up with technological changes to remain competitive. This includes automation, internet usage, and new software or tools that improve operational efficiency.

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BMF – May 2015 – L1 – SB – Q2 – The Business Environment

Discuss four external environmental factors that impact business operations.

Businesses do not operate in a vacuum. There is a combination of internal and external factors that affect how businesses function.
State and explain any FOUR external environmental factors that affect a business.

  1. Political Factors:
    Political factors affect the level of opportunities and threats within the business environment. Factors such as the stability of the political system, government policies, and regulations have a major influence on how businesses operate. A change in government or political instability can affect market conditions and disrupt business operations.
  2. Economic Factors:
    Economic conditions, including inflation rates, interest rates, economic growth, and exchange rates, play a crucial role in business performance. A strong economy encourages businesses to expand, whereas a weak economy may force businesses to downsize or halt operations.
  3. Socio-Cultural Factors:
    Socio-cultural aspects include the beliefs, values, attitudes, and lifestyles of people. These factors influence consumer behavior and market demand. A business must understand these cultural nuances to tailor products and services that meet the expectations of its customers.
  4. Technological Factors:
    The level of technological advancement within a country or industry determines the efficiency of production processes and service delivery. Businesses must keep up with technological changes to remain competitive. This includes automation, internet usage, and new software or tools that improve operational efficiency.

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BMF – May 2015 – L1 – SB – Q1b – Business and Organizational Structures and Choices

Identifying the advantages of a partnership business.

Identify FIVE advantages of a partnership business.

  1. Shared management and pooled knowledge: Partners bring in varied expertise and skills to manage the business.
  2. Attraction of more financial resources: Partnerships can attract more capital compared to sole proprietorships.
  3. Continuity in comparison with sole proprietorship: Unlike sole proprietorships, partnerships can continue even when one partner exits.
  4. Division of labor: Partners can divide work based on their strengths, leading to more efficient management.
  5. Sharing of risks and losses: The risks and financial losses are shared among partners, reducing the burden on a single individual.

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BMF – May 2015 – L1 – SB – Q1b – Business and Organizational Structures and Choices

Identifying the advantages of a partnership business.

Identify FIVE advantages of a partnership business.

  1. Shared management and pooled knowledge: Partners bring in varied expertise and skills to manage the business.
  2. Attraction of more financial resources: Partnerships can attract more capital compared to sole proprietorships.
  3. Continuity in comparison with sole proprietorship: Unlike sole proprietorships, partnerships can continue even when one partner exits.
  4. Division of labor: Partners can divide work based on their strengths, leading to more efficient management.
  5. Sharing of risks and losses: The risks and financial losses are shared among partners, reducing the burden on a single individual.

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BMF – May 2015 – L1 – SB – Q1a – Business and Organizational Structures and Choices

Features of the Memorandum of Association, Articles of Association, and Public Sector Entities.

State FIVE features of each of the following:
i. Memorandum of Association (5 Marks)
ii. Articles of Association (5 Marks)
iii. Public Sector Entity (5 Marks)

i. Features of Memorandum of Association:

  • The name of the company.
  • The names and addresses of the shareholders.
  • The number of shares held by each shareholder.
  • The location of the registered office.
  • The objectives of the company.

ii. Features of Articles of Association:

  • The internal relations of the company.
  • The rights of shareholders.
  • How meetings are convened.
  • Appointment and renewal of directors and other officers.
  • Power and duties of directors.

iii. Features of Public Sector Entity:

  • It is owned by the government.
  • It is created by an Act of Parliament.
  • It is managed by a board of directors appointed by the government.
  • It renders essential services.
  • It is not established for profit.

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BMF – May 2015 – L1 – SB – Q1a – Business and Organizational Structures and Choices

Features of the Memorandum of Association, Articles of Association, and Public Sector Entities.

State FIVE features of each of the following:
i. Memorandum of Association (5 Marks)
ii. Articles of Association (5 Marks)
iii. Public Sector Entity (5 Marks)

i. Features of Memorandum of Association:

  • The name of the company.
  • The names and addresses of the shareholders.
  • The number of shares held by each shareholder.
  • The location of the registered office.
  • The objectives of the company.

ii. Features of Articles of Association:

  • The internal relations of the company.
  • The rights of shareholders.
  • How meetings are convened.
  • Appointment and renewal of directors and other officers.
  • Power and duties of directors.

iii. Features of Public Sector Entity:

  • It is owned by the government.
  • It is created by an Act of Parliament.
  • It is managed by a board of directors appointed by the government.
  • It renders essential services.
  • It is not established for profit.

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BMF – MAY 2015 – L1 – SA – Q20 – Communications in Business

Defining the process of information transmission in business contexts.

The process of transmission of information from one person, group or organisation to another is called:

A. Decoding
B. Communication
C. Globalization
D. Presentation
E. Translation

Answer: B. Communication

Explanation:
Communication refers to the process of transmitting information from one entity to another, encompassing various methods and channels. It is essential for effective interaction within and between organizations.

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BMF – MAY 2015 – L1 – SA – Q20 – Communications in Business

Defining the process of information transmission in business contexts.

The process of transmission of information from one person, group or organisation to another is called:

A. Decoding
B. Communication
C. Globalization
D. Presentation
E. Translation

Answer: B. Communication

Explanation:
Communication refers to the process of transmitting information from one entity to another, encompassing various methods and channels. It is essential for effective interaction within and between organizations.

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BMF – MAY 2015 – L1 – SA – Q19 – Management, Individual, and Organisational Behaviour

Identifying the leadership style based on authority and control over rewards.

A leadership style in which the leader has the authority to withhold or give reward and punishment is referred to as ………………. style.

A. Democratic leadership
B. Participative leadership
C. Contingency leadership
D. Autocratic leadership
E. Laissez faire leadership

Answer: D. Autocratic leadership

Explanation:
Autocratic leadership is characterized by a leader who has significant control over decision-making and the authority to reward or punish subordinates. This style does not typically involve team input or collaboration, focusing instead on the leader’s authority and directives.

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BMF – MAY 2015 – L1 – SA – Q19 – Management, Individual, and Organisational Behaviour

Identifying the leadership style based on authority and control over rewards.

A leadership style in which the leader has the authority to withhold or give reward and punishment is referred to as ………………. style.

A. Democratic leadership
B. Participative leadership
C. Contingency leadership
D. Autocratic leadership
E. Laissez faire leadership

Answer: D. Autocratic leadership

Explanation:
Autocratic leadership is characterized by a leader who has significant control over decision-making and the authority to reward or punish subordinates. This style does not typically involve team input or collaboration, focusing instead on the leader’s authority and directives.

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QTB – May 2015 – L1 – SA – Q16 – Statistics

Identifying the algebraic sum of deviations from the mean in a dataset.

The algebraic sum of the deviations of a set of numbers from their mean is:

A. The mean of the numbers
B. The modal number
C. The median of the numbers
D. Zero
E. One

Answer:
D. Zero

Explanation:
The algebraic sum of the deviations of a set of numbers from their mean is always zero. This is a fundamental property of the mean in statistics, indicating that the total positive deviations equal the total negative deviations.

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QTB – May 2015 – L1 – SA – Q16 – Statistics

Identifying the algebraic sum of deviations from the mean in a dataset.

The algebraic sum of the deviations of a set of numbers from their mean is:

A. The mean of the numbers
B. The modal number
C. The median of the numbers
D. Zero
E. One

Answer:
D. Zero

Explanation:
The algebraic sum of the deviations of a set of numbers from their mean is always zero. This is a fundamental property of the mean in statistics, indicating that the total positive deviations equal the total negative deviations.

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QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

A cumulative frequency curve is also known as:

A. Lorenz curve
B. Cumulative frequency graph
C. Ogive
D. Cumulative frequency line
E. Frequency polygon

Answer:
C. Ogive

Explanation:
A cumulative frequency curve is commonly referred to as an “ogive.” This type of graph represents the cumulative frequencies of a dataset, allowing for the visualization of data distribution and analysis of percentiles.

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QTB – May 2015 – L1 – SA – Q15 – Statistics

Identifying the alternative name for a cumulative frequency curve.

A cumulative frequency curve is also known as:

A. Lorenz curve
B. Cumulative frequency graph
C. Ogive
D. Cumulative frequency line
E. Frequency polygon

Answer:
C. Ogive

Explanation:
A cumulative frequency curve is commonly referred to as an “ogive.” This type of graph represents the cumulative frequencies of a dataset, allowing for the visualization of data distribution and analysis of percentiles.

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QTB – May 2015 – L1 – SA – Q14 – Statistics

Identifying types of variations present in time series data.

Which of the following represents the types of variations in time series analysis?

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

Answer:
A. Trend and cyclical variation

Explanation:
In time series analysis, variations are typically classified into three main types: trend, seasonal, and irregular. Trend refers to the long-term movement in the data, while cyclical variation is the long-term oscillations that occur around the trend line due to economic conditions. Therefore, option A correctly identifies two of these types.

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QTB – May 2015 – L1 – SA – Q14 – Statistics

Identifying types of variations present in time series data.

Which of the following represents the types of variations in time series analysis?

A. Trend and cyclical variation
B. Irregular and cyclical variation
C. Trend and seasonal variation
D. Cyclical and seasonal variation
E. Seasonal and irregular variations

Answer:
A. Trend and cyclical variation

Explanation:
In time series analysis, variations are typically classified into three main types: trend, seasonal, and irregular. Trend refers to the long-term movement in the data, while cyclical variation is the long-term oscillations that occur around the trend line due to economic conditions. Therefore, option A correctly identifies two of these types.

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QTB – May 2015 – L1 – SA – Q13 – Operations Research

Identifying the meaning of the acronym EOQ in inventory control.

The acronym EOQ in inventory control system stands for:

A. Economic Order Quantity
B. Economic Optimal Quantity
C. Equilibrium Optimal Quantity
D. Economic Ordering Quality
E. Equilibrium Ordering Quality

Answer:
A. Economic Order Quantity

Explanation:
EOQ, or Economic Order Quantity, is a key concept in inventory management that determines the optimal order quantity that minimizes total inventory costs, including holding costs and order costs. It helps businesses manage their inventory efficiently.

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QTB – May 2015 – L1 – SA – Q13 – Operations Research

Identifying the meaning of the acronym EOQ in inventory control.

The acronym EOQ in inventory control system stands for:

A. Economic Order Quantity
B. Economic Optimal Quantity
C. Equilibrium Optimal Quantity
D. Economic Ordering Quality
E. Equilibrium Ordering Quality

Answer:
A. Economic Order Quantity

Explanation:
EOQ, or Economic Order Quantity, is a key concept in inventory management that determines the optimal order quantity that minimizes total inventory costs, including holding costs and order costs. It helps businesses manage their inventory efficiently.

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QTB – May 2015 – L1 – SA – Q12 – Statistics

Identifying the correct term for the amount of time activities can be delayed in project management.

The amount of time during which a path of activities could be delayed without affecting the overall project duration is called:

A. Independent float
B. Total float
C. Free float
D. Excess time float
E. Average time float

Answer:
B. Total float

Explanation:
Total float (or total slack) refers to the total time that a project task can be delayed without affecting the project’s overall completion date. It is crucial for project management as it helps in scheduling and resource allocation.

 

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QTB – May 2015 – L1 – SA – Q12 – Statistics

Identifying the correct term for the amount of time activities can be delayed in project management.

The amount of time during which a path of activities could be delayed without affecting the overall project duration is called:

A. Independent float
B. Total float
C. Free float
D. Excess time float
E. Average time float

Answer:
B. Total float

Explanation:
Total float (or total slack) refers to the total time that a project task can be delayed without affecting the project’s overall completion date. It is crucial for project management as it helps in scheduling and resource allocation.

 

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QTB – May 2015 – L1 – SA – Q11 – Statistics

Identifying methods used to measure trends in time series data.

The following methods are used to measure the trend of a time series EXCEPT:

A. Semi-average
B. Moving average
C. Free-hand
D. Deseasonalisation
E. Least squares

Answer:
C. Free-hand

Explanation:
In time series analysis, methods such as semi-average, moving average, deseasonalisation, and least squares are commonly used to identify trends. The “free-hand” method is not a formal statistical method for measuring trends in time series data.

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QTB – May 2015 – L1 – SA – Q11 – Statistics

Identifying methods used to measure trends in time series data.

The following methods are used to measure the trend of a time series EXCEPT:

A. Semi-average
B. Moving average
C. Free-hand
D. Deseasonalisation
E. Least squares

Answer:
C. Free-hand

Explanation:
In time series analysis, methods such as semi-average, moving average, deseasonalisation, and least squares are commonly used to identify trends. The “free-hand” method is not a formal statistical method for measuring trends in time series data.

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QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

The following values are computed from a set of bivariate data relating the price and age of 12 selected cars from a car dealer shop as  where is the difference between ranks of price and age of cars. The computed Spearman’s rank correlation coefficient between the price and age of the car is:

A. -0.4545
B. -0.3535
C. 0.0000
D. 0.3535
E. 0.4545

Answer:
A. -0.4545

Explanation:
Using Spearman’s rank correlation formula:

Given and n = 12, we calculate:

Thus, the Spearman’s rank correlation coefficient is -0.4545.

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QTB – May 2015 – L1 – SA – Q10 – Statistics

Calculating Spearman’s rank correlation between price and age of cars.

The following values are computed from a set of bivariate data relating the price and age of 12 selected cars from a car dealer shop as  where is the difference between ranks of price and age of cars. The computed Spearman’s rank correlation coefficient between the price and age of the car is:

A. -0.4545
B. -0.3535
C. 0.0000
D. 0.3535
E. 0.4545

Answer:
A. -0.4545

Explanation:
Using Spearman’s rank correlation formula:

Given and n = 12, we calculate:

Thus, the Spearman’s rank correlation coefficient is -0.4545.

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QTB – May 2015 – L1 – SA – Q9 – Statistics

Identifying the dependent and independent variables in regression analysis.

A sales manager of a manufacturing company is to predict the sales of some products for given expenditures on advertising using a simple linear regression analysis. In the fitted regression equation, the sales and advertising expenditure are respectively ____________ and ________________ variables.

A. Independent, dependent
B. Dependent, independent
C. Fixed, dependent
D. Dependent, fixed
E. Nominal, categorical

Answer:
B. Dependent, independent

Explanation:
In a simple linear regression analysis, the sales (output) are the dependent variable, and the advertising expenditure (input) is the independent variable. The dependent variable is what you are trying to predict or explain, while the independent variable is what you are using to make the prediction.

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QTB – May 2015 – L1 – SA – Q9 – Statistics

Identifying the dependent and independent variables in regression analysis.

A sales manager of a manufacturing company is to predict the sales of some products for given expenditures on advertising using a simple linear regression analysis. In the fitted regression equation, the sales and advertising expenditure are respectively ____________ and ________________ variables.

A. Independent, dependent
B. Dependent, independent
C. Fixed, dependent
D. Dependent, fixed
E. Nominal, categorical

Answer:
B. Dependent, independent

Explanation:
In a simple linear regression analysis, the sales (output) are the dependent variable, and the advertising expenditure (input) is the independent variable. The dependent variable is what you are trying to predict or explain, while the independent variable is what you are using to make the prediction.

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QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where represents mutilated notes and represents new notes.

 

 

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer:
B. 0.55

Explanation:
Using the formula for conditional probability, we find the probability that the customer was served by cashier A given that they received mutilated notes. We compute:

 

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QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where represents mutilated notes and represents new notes.

 

 

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer:
B. 0.55

Explanation:
Using the formula for conditional probability, we find the probability that the customer was served by cashier A given that they received mutilated notes. We compute:

 

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QTB – May 2015 – L1 – SA – Q7 – Statistics

Calculating how many times two events can occur together.

If an event can occur mm times and another event can occur times, then both events can occur together in:

A. m+n times
B. m−n times
C. m times
D. m/n times
E. n/m times

Answer:
C. m times

Explanation:
In probability and combinatorics, when two independent events can occur mm and times respectively, the total number of ways they can occur together is the product of the number of occurrences of each event, which is .

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QTB – May 2015 – L1 – SA – Q7 – Statistics

Calculating how many times two events can occur together.

If an event can occur mm times and another event can occur times, then both events can occur together in:

A. m+n times
B. m−n times
C. m times
D. m/n times
E. n/m times

Answer:
C. m times

Explanation:
In probability and combinatorics, when two independent events can occur mm and times respectively, the total number of ways they can occur together is the product of the number of occurrences of each event, which is .

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