Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 22 are selected from each group and are given a manual dexterity test. The mean of the athletes' test was 88, and the mean of the band members' test was 86. The population standard deviation for the test is 7.8. Use u₁ for the mean of the athletes' test. At a = 0.05, is there a significant difference in the mean scores? Use the critical value method and tables.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(i) Determine if the hypothesis test is one-tailed or two-tailed.

(ii) Find the critical value(s). Round the answer(s) to at least two decimal places. If there is more than one critical value, separate them with commas.

(iii) Compute the test value. Always round z score values to at least two decimal places.

(iv) Make the decision and summarize the results. 

Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band
members. Two random samples of 22 are selected from each group and are given a manual dexterity test. The mean of the athletes' test
was 88, and the mean of the band members' test was 86. The population standard deviation for the test is 7.8. Use u. for the mean of the
athletes test. At a = 0.05, is there a significant difference in the mean scores? Use the critical value method and tables.
M
Transcribed Image Text:Manual Dexterity Differences A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of band members. Two random samples of 22 are selected from each group and are given a manual dexterity test. The mean of the athletes' test was 88, and the mean of the band members' test was 86. The population standard deviation for the test is 7.8. Use u. for the mean of the athletes test. At a = 0.05, is there a significant difference in the mean scores? Use the critical value method and tables. M
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