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Q.13

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Introductory Statistics

Found in: Page 764

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

What is the Mean Square Factor?

The Mean Square Factor is $2496.6$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given Information

Groups of men from three different areas of the country are to be tested for mean weight.

Group 1	Group 2	Group 3
216	202	170
198	213	165
240	284	182
187	228	197
176	210	201

Step 2: Explanation

To calculate sum of square factor, use Ti-83 calculator. For this, click on STAT $\to$ press $1 \to$ EDIT, then put the above given weights of different groups data into the list $L 1, L 2 a n d L 3$ . The screenshot is given as below:

Step 3: Explanation

Now-Again press STAT $\to$ arrow over the TESTS $\to$ arrow down to ANOVA $\to$ Press var then select1, press var then select $2$ , press var then select $3$ to fill the values of $L 1, L 2 a n d L 3$ . The screen shot is given as below:

Step 4: Explanation

Press ENTER. The screenshot of the obtained output of calculated mean square factor is given as below:

Thus, the mean square factor is $2469.6$ .

Most popular questions for Math Textbooks

55. At the $5 %$ 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 $35$ hills. The first cyclist has a variance of $23.8$ and the second cyclist has a variance of $32.1$ . 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 $10 %$ , test the hypothesis that the three formulas produce the same mean weight gain

Linda's rats	Tuan's rats	Javier's rats
43.5	47.0	51.2
39.4	40.5	40.9
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46.0	46.3	45.0
38.2	44.2	48.6

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.

Write the final assumption.

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

$\begin{array}{l} Group A & Group B & Group C \\ 101 & 151 & 101 \\ 108 & 149 & 109 \\ 98 & 160 & 198 \\ 107 & 112 & 186 \\ 111 & 126 & 160 \end{array}$

What are the $S S_{within}$ and $M S_{within}$ ?

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 $24$ individuals and asked them their daily one-way commuting mileage. The results are in Table 13.22. Using a $5 %$ significance level, test the hypothesis that the three mean commuting mileages are the same.

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