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| Section | Objectives |
|---|---|
| Topic 1: Decision Making Models | - Risk and uncertainty in decision-making - Decision trees and expected value analysis |
| Topic 2: Regression and Correlation Analysis | - Linear regression modeling - Interpreting correlation and causation |
| Topic 3: Probability and Statistical Inference | - Probability concepts and distributions - Sampling methods and sampling error |
| Topic 4: Hypothesis Testing | - Null and alternative hypotheses - t-tests, chi-square tests, and significance testing |
| Topic 5: Data Fundamentals and Business Analytics | - Descriptive statistics (mean, median, variance, standard deviation) - Data types and data collection methods |
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NEW QUESTION # 117
A nonprofit organization ran a fundraiser and would like to determine the amount of a typical donation.
Which statistic is less affected by outliers and skewed data and should be used to determine the amount of a typical donation?
Answer: C
Explanation:
In data-driven decision making, themedianis the preferred measure of central tendency when data contain outliers or are skewed. Fundraising donation amounts often exhibit right-skewed distributions, where a small number of very large donations can significantly inflate the mean. Using the mean in such cases may misrepresent what a "typical" donor gives.
The median represents the middle value when donation amounts are ordered from smallest to largest. Because it depends only on position rather than magnitude, it isrobust to extreme values. This makes it especially useful for summarizing typical behavior in skewed financial data.
The mean is sensitive to outliers, the z-score measures standardized distance from the mean, and the mode identifies the most frequent value but may not reflect central tendency in continuous donation data. Therefore, the statistic that best represents a typical donation amount is themedian, making optionCcorrect.
NEW QUESTION # 118
A manager has been asked to evaluate the risk of loss for a new business strategy. The manager plots the results of several simulated projections to determine the likelihood of a result being a loss. Which statistic will transform different data sets to the same scale so that the manager can compare the projections?
Answer: C
Explanation:
A z score is used to standardize values from different data sets so they can be compared on the same scale. It expresses how far a value lies from the mean in terms of standard deviations. This makes it especially useful when a manager needs to compare simulated projections that may have different averages and different spreads. By converting the results into z scores, the manager can evaluate relative performance and risk across otherwise non-comparable distributions. Median and mode describe central tendency, but they do not place values on a common standardized scale. Variance measures dispersion, but it does not directly convert or normalize observations for comparison. In risk analysis and simulation-based decision-making, standardization is often necessary when results come from multiple scenarios, models, or assumptions. Z scores provide that standard frame of reference and allow meaningful interpretation of whether a projected loss is unusually high, low, or typical within its own distribution. Therefore, the correct answer is z score because it transforms different data sets to a common comparison scale.
NEW QUESTION # 119
Which term describes a response that appears the greatest number of times compared to other responses in a survey?
Answer: D
Explanation:
Themodeis the value that appears most frequently in a dataset. In data-driven decision making, it is particularly useful for analyzing categorical or discrete survey data.
The median represents the middle value, the mean is the average, and outliers are extreme values. Because the question asks for the most frequently occurring response, the correct answer isA, mode.
NEW QUESTION # 120
Which two results occur when the null hypothesis is accepted using an F-test?
Choose 2 answers.
Answer: B,D
Explanation:
When the null hypothesis is accepted in anF-test, it indicates that there is no statistically significant difference between group variances or means, depending on the test design. Acceptance occurs when thetest statistic is less than the critical value, meaning the observed variation is within expected limits.
Accepting the null hypothesis implies thatno meaningful differenceexists between the samples. If the test statistic exceeded the critical value, the null hypothesis would be rejected.
Thus, the correct results areA and D.
NEW QUESTION # 121
A retail manager collected the following sales-receipt totals from the store's cashiers:
$25, $22, $48, $42, $32, $28, $24, $54, $34, $41, $48
What is the median of this sales-receipt data?
Answer: C
Explanation:
Themedianis the middle value of a dataset when the data is arranged in ascending order. It is a key descriptive statistic used in data-driven decision making because it is resistant to extreme values.
First, sort the data in ascending order:
22, 24, 25, 28, 32,34, 41, 42, 48, 48, 54
There are 11 values in total, so the median is the 6th value. The 6th value is$34, making it the median.
The median provides insight into the typical transaction size without being influenced by unusually large receipts. Therefore, the correct answer isB.
NEW QUESTION # 122
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