Question

Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of twelve trips via the 10 Freeway and twelve trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-four trips:

	Travel times in minutes
10 Freeway	75, 69, 70, 74, 68, 69, 77, 68, 71, 73, 75, 71
60 Freeway	68, 71, 71, 73, 70, 70, 77, 75, 72, 75, 68, 73

Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the

0.05

level of significance, that the mean travel times of the two routes are different?

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF
The value of the test statistic: (Round to at least three decimal places.)
The p-value: (Round to at least three decimal places.)
Can we conclude that the mean travel times of the two routes are different?		Yes	No

Answer 1