Question

5 Members of the college track team in Denver (elevation 5200 feet) went up to Leadville (elevation 10,152 feet) for a track meet. The times in minutes for these team members to run two miles at each location are shown below. Assume the team members constitute a random sample of track team members. Use α = 5% level of significance to test the claim that the times were longer at higher elevations. Team Member 1 2 3 4 5 Denver 10.7 9.1 11.4 9.7 9.2 Leadville 11.5 10.6 11.0 11.2 10.3

a) What is the level of significance? State the null and alternate hypotheses.

b) What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?

c) Find the P-value.

d)Will you reject or fail to reject the null hypothesis?

e) State your conclusion in the context of the application.

Answer 1