Question
Questions 13 - 16.(multiple choice) The following are the means and standard deviations of the amounts of salaries of the employees of two corporations:White Gold
Questions 13 - 16.(multiple choice) The following are the means and standard deviations of the amounts of salaries of the employees of two corporations:White Gold and Yellow Gold.
White GoldCorporationYellow Gold Corporation
Mean$70,000$70,000
StandardDeviation$5,000$50,000
N (number ofemployees)100100
13.Interpret the standard deviation of $5,000.Note: The format of the sentence that is used to interpret the standard deviation is: [The name of the variable] is (or are) typically [the value of the standard deviation] away from the mean of [xxx].
A. The standard deviation of $5,000 at the White Gold Corporation indicates that the salaries of the employees are typically $5,000 away from the mean of $70,000 (from roughly $65,000 to $75,000).
B. The standard deviation of $5,000 at the White Gold Corporation indicates that the salaries of the employees are $5,000 above the mean of $70,000.
C. The standard deviation of $5,000 at the White Gold Corporation indicates that the salaries of the employees are $5,000below the mean of $70,000.
D. The standard deviation of $5,000 at the White Gold Corporation indicates that the salaries of the employees are $5,000 more than the mean of $70,000.
14.Interpret the standard deviation of $50,000.
A. The standard deviation of $50,000 at the Yellow Gold Corporation indicates that the salaries of the employees are typically $50 away fromthe mean of $70,000.
B. The standard deviation of $50,000 at the Yellow Gold Corporation indicates that the salaries of the employees are typically $50,000 above the mean of $70,000.
C. The standard deviation of $50,000 at the Yellow Gold Corporation indicates that the salaries of the employees are typically $50,000below the mean of $70,000.
D. The standard deviation of $50,000 at the Yellow Gold Corporation indicates that the salaries of the employees are typically$50,000 away from the mean of $70,000.
15. Compare the two standard deviations; what do they tell us about the salaries of the employees of the two corporations?More specifically, which of the following statements is true?
A. The typical salaries at the White Gold Corporation are closer to the mean and the typical salaries at the Yellow Gold Corporation are further away from the mean
B. The typical salaries at the White Gold Corporation are lower than the average and the typical salaries at the Yellow Gold Corporation are higher than the average.
C. There is no difference in the salary variations of the two corporations.
D. The average salaries at the White Gold Corporation are higher than the average salaries at the Yellow Gold Corporation.
E. The average salaries at the White Gold Corporation arelower than the average salaries at the Yellow Gold Corporation.
16. Compare the two standard deviations; what do they tell us about the salaries of the employees of the two corporations?More specifically, which of the following statements is true?
A. The salaries of the White Gold Corporation are more similar (more homogeneous) and the salaries of the Yellow Gold Corporation are more dissimilar (more heterogeneous).
B. Employees at the White Gold Corporation make more money than their counterparts at the Yellow Gold Corporation.
C. There is no difference in the salary variations of the two corporations.
D. The average salaries at the White Gold Corporation arehigher thanthe average salariesat the Yellow Gold Corporation.
E. The average salaries at the White Gold Corporation arelower thanthe average salariesat the Yellow Gold Corporation.
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