Question 5 (10 points) Retake question
The police department in a small town is reviewing the number of traffic citations given for speeding by Officer Michaels and Officer Spencer for the last 5 months. At the .05 significance level, is there a difference in the mean number of citations given by the two officers? The data is as follows:
Officer Michaels 30 22 25 19 26
Officer Spencer 26 19 20 15 19
a. Enter the letter corresponding to the correct null and alternate hypotheses.
A. $H_0: \mu_d \ge 0$
$H_1: \mu_d < 0$
B. $H_0: \mu_d \le 0$
$H_1: \mu_d > 0$
C. $H_0: \mu_d = 0$
$H_1: \mu_d \ne 0$
b. What is the level of significance?
c. Which test statistic will be used, z or t?
d. Enter the letter corresponding to the correct decision rule?
A. Reject $H_0$ if $z < -2.33$
B. Reject $H_0$ if $z < -1.96$ or $z > 1.96$
C. Reject $H_0$ if $t < -2.776$ or $t > 2.776$
e. Calculate the value of the test statistic. Round your answer to three decimal places.
f. Enter the letter corresponding to the correct decision regarding the null hypothesis.
A. Reject $H_0$
B. Do not reject $H_0$
g. Enter the letter corresponding to the correct answer to the question asked in the problem.
A. Yes, there is a difference in the mean number of citations given by the two officers.
B. No, there is no difference in the mean number of citations given by the two officers.
