The San Diego Unified School District wants to know whether the mean absentees for non-athletes is higher than that for athletes. To investigate, they collected the following school year information on absentees for a random sample of high school students:

Non-athletes 10 13 15 17 18 19 20 . .

Athletes 8 9 12 15 16 18

Is it reasonable to conclude that the mean absentees of non-athletes is higher than mean absentees for athletes? Use the 0.05 level of significance.

Question 1

The null hypothesis should read:

Question 2

The alternate hypothesis should read:

Question 3

What is the correct test statistic? Choose between the z-test and the t-test.

Question 4

Will the upper tail, lower tail, or both tails be used?

Question 5

What is (are) the critical values: (Fill in the blank with the correct number to 4 decimal places.)

Question 6

What is the sample mean for non-athletes? (Fill in the blank with the correct number to 4 decimal places.)

Question 7

What is the sample standard deviation for non-athletes? (Fill in the blank with the correct number to 4 decimal places.)

Question 8

What is the sample mean for athletes? (Fill in the blank with the correct number to 4 decimal places.)

Question 9

What is the sample standard deviation for athletes? (Fill in the blank with the correct number to 4 decimal places.)

Question 10

What is the computed value of the test statistic? (Fill in the blank with the correct number to 4 decimal places.)

Question 11

Does the test statistic fall in the critical region or the rejection region:

Question 12

Is your decision not to reject or to reject the null hypothesis:

Question 13

Is your decision in favor of the null hypothesis or the alternate hypothesis:

Question 14

The correct statistical conclusion is:

Question 15

(A) What is a potential meaning of these results for the school system's efforts to reduce absenteeism?

(B) How should the SDUSD use these results to reduce absenteeism among students? Explain your answer.