The Hardcore Construction Company has two offices, one in Atlanta and one in New Orleans. Fifteen engineers work in the Atlanta office, and 14 engineers work in the New Orleans office. The business manager decided to use a 2-sample $$\(t\)$$-test to compare the mean salaries of engineers in the two offices. Because there were only 15 engineers in one office and 14 engineers in the other, he used the salaries of all the engineers in the computation. Is the 2-sample $$\(t\)$$-test an appropriate inferential tech- nique in this situation?
A.
Yes, because he is comparing the means of two small groups.
B.
Yes. Both Atlanta and New Orleans are large cities, so the salaries are comparable.
C.
Yes. Because Atlanta and New Orleans are about 500 miles apart, the two groups of engineers can be assumed to be independent.
D.
No, because the number of engineers in the two offices is different.
E.
No, because the entire population information was used from both offices. Because no samples were taken, a \(t\)-test should not be used.
Exam No：AP Statistics Problem Set 11 Year：2024 Question No：23
Answer:
E
Knowledge points:
3.3 Random Sampling and Data Collection
7.8 Setting Up a Test for the Difference of Two Population Means
7.9 Carrying Out a Test for the Difference of Two Population Means
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