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Q.13.3

Expert-verified
Found in: Page 754

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# Four sports teams took a random sample of players regarding their GPAs for the last year. The results are shown in Table 13.8 BasketballBaseballHockeyLacrosse3.62.14.02.02.92.62.03.62.53.92.63.93.33.13.22.73.83.43.22.5Use a significance level of $5%$, and determine if there is a difference in GPA among the teams .

According to the output, the P-value is$.92$. So, at the$5%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.

See the step by step solution

## Step-1 Given Information

Following are the Four sports teams took a random sample of players regarding their GPAs for the last year.

 Basketball Baseball Hockey Lacrosse 3.6 2.1 4.0 2.0 2.9 2.6 2.0 3.6 2.5 3.9 2.6 3.9 3.3 3.1 3.2 2.7 3.8 3.4 3.2 2.5

## Step-2 Explanation

Consider the following data of four team to check significance difference in GPA among the four teams

 Basketball Baseball Hockey Lacrosse 3.6 2.1 4.0 2.0 2.9 2.6 2.0 3.6 2.5 3.9 2.6 3.9 3.3 3.1 3.2 2.7 3.8 3.4 3.2 2.5

To check the significance difference in GPA among the four teams, use Ti-83 calculator. For this, click on STAT $\to$ press1 $\to$ EDIT, then put data into the list ${L}_{1},{L}_{2},{L}_{3},{L}_{4}$. The screenshot is given as below:

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 , and press var then select 4 to fill the values of ${L}_{1},{L}_{2},{L}_{3},{L}_{4}$. The screen shot is given as below:

Press ENTER. the screenshot of the obtained output is given below:

According to the output, the P-value is$.92$. So, at the$5%$ level of significance null hypothesis will be rejected. Thus, mean number of tomato production were different in the five different type of soil cover.