Business Statistics And Research Methods : Practice Questions and Answers

The correct answer is B: The degree and direction of the relationship.

Key Points:

• Correlation analysis is a statistical technique used to determine the degree and direction of a relationship between two variables.
• The correlation coefficient ranges between -1 and +1:
  • Close to +1: strong positive relationship.
  • Close to -1: strong negative relationship.
  • Close to 0: no relationship.
• Correlation does not imply causation; it merely indicates that two variables are associated.

Additional Information:

• Cause-and-effect relationship: Incorrect — correlation does not establish causation. Causation requires further analysis such as experiments or regression analysis.
• Functional relationship: Incorrect — a functional relationship is a precise mathematical expression (e.g., y = f(x)); correlation only measures association.
• Trend over time: Incorrect — trends over time are analyzed using time series or trend analysis, not correlation.

The correct answer is C: Establishing exact cause-effect laws.

Statistics can identify associations and correlations between variables, but it cannot establish exact cause-and-effect laws. Causation requires additional analysis such as controlled experiments. The functions of statistics include simplifying complex data, aiding forecasting, facilitating comparisons, and measuring uncertainty — but not proving causation definitively.

The correct answer is B: Correlation analysis.

Key Points:

• Correlation analysis is a statistical technique used to determine the degree of relationship between two variables.
• In this scenario, the firm wants to study the relationship between sales and advertising expenditure — two measurable variables.
• It can reveal whether an increase in advertising expenditure leads to an increase in sales (positive correlation), a decrease (negative correlation), or no relationship (zero correlation).
• Pearson's correlation coefficient is commonly used to quantify the strength and direction of the relationship.

Additional Information:

• Index numbers: Track changes in economic variables over time (e.g., inflation); not suitable for analyzing the relationship between two specific variables.
• Tabulation: Organizes data into rows and columns for presentation; does not reveal relationships between variables.
• Classification: Groups data into categories; useful for organizing data but does not analyze relationships.

The correct answer is B: 453600.

Key Points:

• The word 'REGRESSION' has 10 letters: R, E, G, R, E, S, S, I, O, N.
• Repeated letters: R appears 2 times, E appears 2 times, S appears 2 times.
• Formula for permutations with repeated letters: n! / (p1! × p2! × ... × pk!)
• Total Permutations = 10! / (2! × 2! × 2!) = 3,628,800 / 8 = 453,600.

Additional Information:

• Factorials: n! is the product of all positive integers ≤ n. e.g., 5! = 120, 3! = 6.
• When a set contains repeated items, divide the total factorial by the factorials of each repeated item's frequency.
• Applications: Counting problems, probability theory, combinatorics.

The correct answer is A: Use of funds.

Key Points:

• Depreciation is a non-cash expense that represents the reduction in the value of an asset over time due to wear and tear or obsolescence.
• It is recorded on the income statement to allocate the cost of a tangible asset over its useful life.
• While depreciation does not involve direct cash outflow, it is treated as a use of funds in financial analysis because it reduces net income.
• Any activity or expense that reduces net cash, net profit, or retained earnings is considered a use of funds. Depreciation indirectly reduces the profit available for distribution or reinvestment.

Additional Information:

• Impact of Depreciation on Financial Statements:
  • Income Statement: Recorded as an expense, reducing net income.
  • Balance Sheet: Accumulated depreciation is subtracted from the asset's original cost, lowering book value.
  • Cash Flow Statement: Added back to net income in operating activities because it is a non-cash expense.
• Methods of Depreciation: Straight-Line Method, Declining Balance Method, Units of Production Method.

The correct answer is C: Facilitate collaboration and resolve conflicts.

Key Points:

• A coordinator is responsible for ensuring smooth collaboration among team members.
• They resolve conflicts effectively by addressing issues and fostering positive communication.
• The coordinator maintains team dynamics by promoting mutual understanding and aligning team efforts.
• They act as a mediator between team members and ensure individual goals align with overall team objectives.

Additional Information:

• Key Responsibilities of a Coordinator:
  • Conflict Resolution: Identifying and mitigating disputes among team members to maintain harmony.
  • Communication Channel: Ensuring clear and effective communication pathways within the team.
  • Team Collaboration: Encouraging teamwork and fostering a collaborative environment.
  • Task Allocation: Assigning responsibilities based on individual strengths and skills to maximize productivity.
• Characteristics of a Good Coordinator:
  • Strong interpersonal skills to communicate effectively with diverse team members.
  • Problem-solving abilities to address challenges promptly and efficiently.
  • Objectivity and fairness in resolving disputes and making decisions.
  • Encourages active participation from all team members to ensure balanced contributions.

The correct answer is D: A, C, D, E only.

Key Points:

• Both PERT (Program Evaluation and Review Technique) and CPM (Critical Path Method) are network-based project management techniques that aim to plan, schedule, and control complex projects. While PERT focuses on time estimation for uncertain tasks, CPM deals with tasks having a deterministic time frame. Despite this difference, both share similar technology and objectives. (A)
• PERT was developed in the late 1950s by the U.S. Navy for managing the Polaris missile submarine program. It was designed to handle uncertain activity durations effectively. (C)
• CPM was developed independently by Du Pont Company and Remington Rand in 1957. It was created to optimize project schedules by focusing on the longest path of tasks (critical path) with known, fixed durations. (D)
• Both PERT and CPM are widely used for project planning to ensure timely project completion and resource optimization. They also aid in monitoring and controlling project progress, identifying delays, and reallocating resources effectively. (E)

Statement B is incorrect because both techniques were developed independently of each other in the late 1950s, not in 2005.

Additional Information:

• PERT is event-oriented and used for projects with uncertain durations; CPM is activity-oriented and used for projects with predictable durations.
• PERT uses three time estimates (optimistic, pessimistic, and most likely), whereas CPM uses a single fixed time estimate for each task.