Question: EverRun Incorporated produces treadmills for use in exercise clubs and recreation centers. EverRun assembles, sells, and services its treadmills, but it does not manufacture the treadmill motors. Rather, treadmill motors are purchased from an outside vendor. Currently, EverRun is considering which motor to include in its new ER1500 series. Three potential suppliers have been identified: Venetti, Madison, and Edison. Only one supplier will be chosen. The motors produced by these three companies are identical in terms of noise and cost. Consequently, EverRun has decided to make its decision based on how long a motor operates at a high level of speed and incline before it fails. A random sample of 10 motors of each type is selected, and each motor is tested to determine how many minutes (rounded to the nearest minute) it operates before it needs to be repaired. The data was analyzed through a statistical software package and the output is below. Answer the questions that follow.

a. Formulate the null and alternative hypotheses.

b. What are the missing df values (treatment, error, and total)?

c. What is the F-statistic?

d. At the 5% level of significance, what is the decision rule? What in the output tells you this? Be specific. What does this mean in relation to the “real-world” significance of the problem?

e. Which groups, if any, are different from one another at the 5% level of significance? If no groups are different, please say so. What in the output tells you this?

f. Based on the output and your conclusions above, which of the 3 engines do you think EverRun Incorporated will choose? Why?