An exercise physiologist wants to examine whether stretching and wearing ankle weights affects running speed when exercising on treadmills. To carry out her study, she recruits 20 women who have roughly the same level of physical fitness, and randomly assigns five of the women into each of four groups; with or without ankle weights, and with or without a stretching period before using the treadmill. Relevant Minitab output is below: All the relevant assumptions and conditions are satisfied, Relvant Minitab output is below. Analysis of Variance Source DF SS MS F-Value P-Value Stretch 2.45 0.693 Ankle Weights 22.47 22.47 0.241 Stretch AnkleWeights 0.13 0.13 0.928 Error 16 241.42 15.09 Total 19 266.47 Perform a hypothesis test, at the 5% level, to see if stretching and using ankle weights interact in their effect on the running speed. (a) Choose the appropriate null hypothesis (Ho) from below: O A. Stretching does not have an affect on the mean running speed, after allowing for its interaction with use of ankle weights. O B. Stretching does have an affect on the mean running speed, after allowing for its interaction with the use of ankle weights O C. Using ankle weights and stretching do not interact in their affect on the mean running speed. O D. Use of ankle weights does not have an affect on the mean running speed allowing for its interaction with stretching E. Using ankle weights and stetching do interact in their affect on the mean running speed OF. Use of ankle weights does have an affect on the mean running speed allowing for its interaction with stretching. (b) Pick the appropriate alternative hypothesis (Ha) from below: O A. Stretching does not have an affect on the mean running speed, after allowing for its interaction with use of ankle weights. O B. Use of ankle weights does have an affect on the mean running speed allowing for its interaction with stretching. O C. Use of ankle weights does not have an affect on the mean running speed allowing for its interaction with stretching. O D. Stretching does have an affect on the mean running speed, affer allowing for its interaction with the use of ankle weights. E. Using ankle weights and stretching do not interact in their affect on the mean running speed. OF. Using ankle weights and stetching do interact in their affect on the mean running speed. (c) Calculate the appropriate test statistic for the Ho and Ha above and enter it below: Test statistic = (enter your answer to 3 decimal places) (d) If we are conducting our test at the 5% significance level, pick the appropriate brief conclusion from below: A. Accept Ho since p-value 0.05 O C. Don't reject Ho since p-value > 0.05 D. Don't reject Ho since p-value
