A company is interested in comparing the mean sales revenue per salesperson at two different locations. The manager takes a random sample of 10 salespeople from each location independently and records the sales revenue generated by each person during the last four weeks. He decides to use a $$\(t\)$$-test to compare the mean sales revenue at the two locations. Which of the fol- lowing assumptions is necessary for the validity of the $$\(t\)$$-test?
A.
The population standard deviations at both locations are equal.
B.
The population standard deviations at both locations are not equal.
C.
The population standard deviations at both locations are known.
D.
The population of the sales records at each location is normally distributed.
E.
The population of the difference in sales records computed by pairing one salesperson from each location is normally distributed
Exam No：AP Statistics Problem Set 10 Year：2024 Question No：APStatistics2024AP0426
Answer:
D
Knowledge points:
7.2 Constructing a Confidence Interval for a Population Mean
7.8 Setting Up a Test for the Difference of Two Population Means
Solution:
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