Question

Thirty randomly selected student cars have ages with a mean of
7.8years and a standard deviation of 3.4 years, while fifteen
randomly selected faculty cars have ages with a mean of 5.2 years
and a standard deviation of 3.7 years.

1. Use a 0.01 significance level to test the claim that student
cars are older than faculty cars, on average.

(a) State the null and alternative hypotheses. (Type
**mu1** for the population mean age of student cars,
and **mu2** for the population mean age of faculty
cars.)

H0 :

H1 :

(b) Find the rejection region.

Reject H0 if t>

(c) Find the test statistic. (Round your final answer to 2 decimal
places.)

t =

(d) Do these samples provide significant evidence that student cars
are older than faculty cars, on average? (Type:
**Yes** or **No** )

2. Construct a 99% confidence interval estimate of the difference
μ1−μ2, where μ1 is the mean age of student cars and μ2 is the mean
age of faculty cars. (Round your final answer to 2 decimal
places.)

( , )

Answer #1

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