Five randomly selected members of the college track team fro

Five randomly selected members of the college track team from Denver (elevation 5200 ft) went up to Leadville (elevation 10,152 ft) track team for a track meet. The times in minutes for these team members to run two miles at each location are shown in the following table.

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) Is this problem concerned w/ two population means or two population proportions?

b) if two population means is chosen in part a should methods for independent samples or paired samples be used in this problem? If two population proportions is chosen, omit this and go to part c.

c) State how you would check the assumption of normal population for the method you picked in part b. DO NOT DO CALCULATIONS

d) Determine the null and alternate hypothesis to determine, at the 5% significance level, if the data provide sufficient evidence to claim that the average time to run two miles is longer at the higher elevation. State which location you would use for population 1 and population 2.

Solution