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| Section | Objectives |
|---|---|
| Topic 1: Probability and Statistical Inference | - Probability concepts and distributions - Sampling methods and sampling error |
| Topic 2: Decision Making Models | - Decision trees and expected value analysis - Risk and uncertainty in decision-making |
| Topic 3: Data Fundamentals and Business Analytics | - Data types and data collection methods - Descriptive statistics (mean, median, variance, standard deviation) |
| Topic 4: Regression and Correlation Analysis | - Interpreting correlation and causation - Linear regression modeling |
| Topic 5: Hypothesis Testing | - Null and alternative hypotheses - t-tests, chi-square tests, and significance testing |
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問題 #70
What is an appropriate management use of statistics?
答案：C
解題說明：
An appropriate management use of statistics is **understanding the demographics of customers**, which supports informed, proactive decision-making. Data-driven decision making emphasizes using statistical analysis to explore patterns, characteristics, and trends that help organizations better understand their customers and markets.
Analyzing customer demographics such as age, income, location, and preferences allows managers to segment markets, tailor products, improve services, and allocate resources effectively. This use of statistics is descriptive and diagnostic in nature and directly supports strategic planning.
Ordering products for an entire region based on data from a single store is inappropriate due to lack of representativeness. Justifying decisions after implementation reflects misuse of statistics, as analytics should inform decisions beforehand, not rationalize them after the fact. Implementing changes solely based on survey response rate ignores the content and validity of responses.
Ethical data-driven decision making requires that statistics be used responsibly, transparently, and with appropriate context. Therefore, the correct answer is **A**, as understanding customer demographics represents a proper and effective use of statistics by management.
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問題 #71
How do analytics help an organization?
答案：C
解題說明：
Analytics help organizations primarily by enabling the development offact-based strategies, which is a central principle of data-driven decision making. Rather than relying on intuition, assumptions, or anecdotal evidence, analytics allows organizations to systematically analyze data to understand performance, identify opportunities, manage risks, and support strategic decisions.
Through descriptive analytics, organizations gain insight into historical performance andoperational efficiency. Predictive analytics enables them to anticipate future trends, customer behavior, and potential outcomes. Prescriptive analytics further supports decision-making by recommending optimal actions under various constraints. Together, these approaches transform raw data into actionable insights that guide strategic planning and execution.
While analytics may support investment management, marketing, or information systems usage, these are specific applications, not the fundamental organizational benefit. Analytics is not primarily used to persuade consumers, nor is its main objective to increase system usage among employees. Instead, its value lies in improving decision quality by grounding strategies in empirical evidence.
In data-driven decision-making frameworks, analytics serves as a structured approach to aligning data, models, and business objectives. By developing strategies based on verified data and analytical methods, organizations reduce uncertainty, improve performance, and gain competitive advantage. Therefore, the correct answer isC, as analytics enable organizations to developfact-based strategies.
問題 #72
A nonprofit organization is asking for donations. It hopes to design an email campaign that will ensure it receives at least $50,000. The campaign will reach 10,000 donors and receive donations with a mean of $10 and a standard deviation of $5.
Which measure should be used to determine the probability of the campaign receiving $50,000?
答案：D
解題說明：
To determine the probability of achieving a specific monetary threshold, data-driven decision making relies on standardization using the z-score. A z-score measures how many standard deviations a value is from the mean and allows analysts to calculate probabilities using the normal distribution.
In this scenario, the nonprofit wants to assess the likelihood that total donations will reach at least $50,000 given a known mean and standard deviation. The z-score enables conversion of the donation target into a standardized value, which can then be evaluated using probability tables or statistical software.
R-squared measures model fit in regression, the t-statistic is used in hypothesis testing, and the median does not support probability calculations. Therefore, the appropriate measure for determining probability in this context is thez-score, making optionDcorrect.
問題 #73
Which performance metric simultaneously accounts for financial, customer, internal process, and learning metrics?
答案：D
解題說明：
The balanced scorecard is the performance framework that simultaneously accounts for financial, customer, internal process, and learning and growth metrics. It was developed to provide a more complete view of organizational performance than financial measures alone. By incorporating these four perspectives, organizations can connect day-to-day activities with long-term strategy and ensure that performance is evaluated in a balanced way. Financial measures show economic results, customer measures reflect market and service outcomes, internal process measures track operational efficiency and quality, and learning metrics focus on improvement, capability development, and organizational growth. A customer complaint report addresses only one narrow area. A balance sheet and an income statement are financial documents and do not capture the full multidimensional view described in the question. Because the question asks for the metric that integrates all four of these important performance areas, the correct answer is balanced scorecard.
問題 #74
A professional services firm is undergoing a business process improvement exercise to improve productivity, staff morale, and client satisfaction. Management compensation will be tied specifically to improvement in productivity during the fiscal year. Which tool should be used to quantify a measurable standard to help the company track the productivity goal for the fiscal year?
答案：D
解題說明：
The best tool for quantifying a measurable standard tied to a specific productivity goal is a key performance indicator. A KPI provides a focused, numerical measure that allows the firm to track progress over time and determine whether the targeted improvement is being achieved during the fiscal year. Because management compensation will be linked specifically to productivity improvement, the organization needs a clear and objective metric that can be monitored consistently. A balanced scorecard is broader and may include productivity as one component, but it is not the most direct tool for measuring one targeted operational result.
A net promoter score is related to customer loyalty and satisfaction, not productivity. Results-based management is a broader management approach rather than a single measurable standard. Since the question asks which tool should be used to quantify a measurable standard for tracking the goal, the correct answer is key performance indicator. It provides the direct, specific measure needed for performance monitoring and accountability.
問題 #75
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