Question

Nike thinks that they have invented a new shoe that will improve a runner’s race time at the Wildcat Desert 10 mile run in Tucson, AZ. To test their product, they took an SRS of eleven runners and recorded the time it took to run 10 miles in their new Nike shoes:
91.1 91.3 91.9 92.1 94.6 95.8 96.3 96.7 97.4 99.6 103.3
Using the appropriate critical value provided in Table C, construct a 95% confidence interval for " using a one- sample B-procedure. Based upon your confidence interval only, determine whether or not you have sufficient evidence to reject the null hypothesis that " = 93.7 minutes for the population average time to run the Wildcat
Desert 10 mile run. You must show ALL the steps in the construction of your confidence interval. Do not simply use the calculator commands to solve the problem.

Answer 1