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19. If there was a bigger mean difference between the strength group and the walking group, e.g., an 11-point difference. What would happen to Cohen's d? Calculate it.

19. If there was a bigger mean difference between the strength group and the walking group, e.g., an 11-point difference. What would happen to Cohen's d? Calculate it.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For #10 - 19: A researcher conducts an Independent-Measures study examining the effectiveness of a group exercise program on muscle strength at an assisted living facility for elderly adults. One group of residents is selected to participate in the new weight training program and a second group participates in a fitness walking group. After 8 weeks, the researcher records a strength score for each individual. The data are as follows: Strength Walking Here are some formulas and values to help: Pooled Variance (s?,) = 14 Group Group n = 14 n = 28 S(M1-M2) V n n, M1 = 15 M2 = 12 t = M1 - M2 / S (M1-M2) 10. In statistical notion, what is your null hypothesis? µ1 = µ2 11. Calculate your estimated standard error (SM1- M2). 1.2247 12. Calculate your t-statistic. Compute it with the information and formulas which are given above. 2.449 13. How many df do you have? 40 14. Using two tails, an alpha level of .05 and the df you calculated above in #13, what is your tcritical? (Hint: If you have an in-between value on the Table of Values, just use the next largest df value-beneath where it would have been found in the table. +2.7012 15. Do the t-test. What is your conclusion? Do you reject the null hypothesis or fail to reject the null hypothesis? There is enough evidence to conclude that there is significant difference between the population mean strength scores for the residents who are reselected to weight training program and fitness walking, at 5% level of significance. The exercise program of muscle strength is significantly effective. Reject the null hypothesis. 16. What if there was a smaller difference between the two groups? That is, if M1 = 14 and M2 = 12. Then, what is your t-statistic? 1.633 19. If there was a bigger mean difference between the strength group and the walking group, e.g., an 11-point difference. What would happen to Cohen's d? Calculate it.
Transcribed Image Text:For #10 - 19: A researcher conducts an Independent-Measures study examining the effectiveness of a group exercise program on muscle strength at an assisted living facility for elderly adults. One group of residents is selected to participate in the new weight training program and a second group participates in a fitness walking group. After 8 weeks, the researcher records a strength score for each individual. The data are as follows: Strength Walking Here are some formulas and values to help: Pooled Variance (s?,) = 14 Group Group n = 14 n = 28 S(M1-M2) V n n, M1 = 15 M2 = 12 t = M1 - M2 / S (M1-M2) 10. In statistical notion, what is your null hypothesis? µ1 = µ2 11. Calculate your estimated standard error (SM1- M2). 1.2247 12. Calculate your t-statistic. Compute it with the information and formulas which are given above. 2.449 13. How many df do you have? 40 14. Using two tails, an alpha level of .05 and the df you calculated above in #13, what is your tcritical? (Hint: If you have an in-between value on the Table of Values, just use the next largest df value-beneath where it would have been found in the table. +2.7012 15. Do the t-test. What is your conclusion? Do you reject the null hypothesis or fail to reject the null hypothesis? There is enough evidence to conclude that there is significant difference between the population mean strength scores for the residents who are reselected to weight training program and fitness walking, at 5% level of significance. The exercise program of muscle strength is significantly effective. Reject the null hypothesis. 16. What if there was a smaller difference between the two groups? That is, if M1 = 14 and M2 = 12. Then, what is your t-statistic? 1.633 19. If there was a bigger mean difference between the strength group and the walking group, e.g., an 11-point difference. What would happen to Cohen's d? Calculate it.
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