Random samples of female and male drivers are asked to estimate the
number of miles that each drives in a year. The data is below:
Females (Population 1): 9100, 8400, 8900, 8900, 9800, 9800, 9700, 8300, 9300
Males (Population 2): 10300, 10200, 9900, 8700, 9800, 10200, 9700
Is there evidence, at an level of significance,
to conclude that there is a difference in the number of miles driven
between females and males? (Assume that the population variances are equal.)
Carry out an appropriate
hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An
answer of the form is expressed (-infty, a), an answer of the
form is expressed (b, infty), and an answer of the
form is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value is
D. Your decision for the hypothesis test:
In order to get credit for this problem all answers must be correct.