What is the Mean Square Factor?
The Mean Square Factor is .
Groups of men from three different areas of the country are to be tested for mean weight.
|Group 1||Group 2||Group 3|
To calculate sum of square factor, use Ti-83 calculator. For this, click on STAT press EDIT, then put the above given weights of different groups data into the list . The screenshot is given as below:
Now-Again press STAT arrow over the TESTS arrow down to ANOVA Press var then select1, press var then select , press var then select to fill the values of . The screen shot is given as below:
Press ENTER. The screenshot of the obtained output of calculated mean square factor is given as below:
Thus, the mean square factor is .
55. At the significance level, do we reject the null hypothesis?
Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up hills. The first cyclist has a variance of and the second cyclist has a variance of . The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed.
64. Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of , test the hypothesis that the three formulas produce the same mean weight gain
|Linda's rats||Tuan's rats||Javier's rats|
A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed individuals and asked them their daily one-way commuting mileage. The results are in Table 13.22. Using a significance level, test the hypothesis that the three mean commuting mileages are the same.
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