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# Testing of hypothesis and correlation

16-22. The following sample data were obtained from three populations where the variances were not equal, and you wish to compare the populations.
Sample 1 Sample 2 Sample 3
21 15 38
29 17 40
35 22 44
45 27 51
56 31 53
71
1. State the null hypothesis.
2. Using the .01 level of risk, state the decision rule.
3. Compute the value of the test statistic.
4. What is your decision on the null hypothesis?

16-25. Nielsen Media Research wants to pretest a questionnaire to be mailed to several thousand viewers. One question involves the ranking of male and female college students with respect to the popularity of programs.
Program Ranking by Males Ranking by Females

Monday Night Football" 1 5
"Tonight Show with Jay Leno" 4 1
"60 Minutes" 3 2
"Late Show with David Letterman" 2 4
"Sports Center on ESPN" 5 3
1. Draw a scatter diagram. Let the rankings by males be X.
2. Compute Spearman's rank-order correlation coefficient. Interpret

#### Solution Summary

In this solution a detailed step by step calculation of rank correlation is shown.

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