Question

A car dealer claims that on average, cars owned by professors are newer than cars owned...

A car dealer claims that on average, cars owned by professors are newer than cars owned by students. Random samples of 40 faculty cars and 36 student cars are taken and their ages are measured. The data was shown in the following table:

ages for faculty cars ages for student cars
n 1= 40 n 2=36
sample mean x 1 = 5.9 sample mean x 2= 7.1
s 1= 1.6 s 2= 1.8

Find the rejection region at alpha=.05 and the p-value of this test.

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