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Q.53

Expert-verifiedFound in: Page 767

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

Two students are interested in whether or not there is variation in their test scores for math class. There are $15$ total math tests they have taken so far. The first student’s grades have a standard deviation of $38.1$.The

second students' grades have a standard deviation of $22.5$. The second student thinks his scores are more consistent.

What is the F Statistic?

The value of the F-statistic is calculated as follows $2.86$

The following information is given in the question, there are $15$ total math tests they have taken so far. The first student’s grades have a standard deviation of $38.1$. The second students' grades have a standard deviation of $22.5$. What is the F Statistic?

To compute the value of the F-Statistic, use the Ti-$83$ calculator. The procedure is shown as below:

1. Click on the STAT $\to $ arrow over the TESTS $\to $ arrow down to $2$ -sample F-test $\to $ ENTER $\to $ arrow to the Stats and press ENTER. The screenshot is given as below:

$\text{2. Now enter the values of}S{x}_{1}=38.1{n}_{1}=15$

$S{\mathrm{x}}_{2}=22.5\text{and}{n}_{2}=15\text{then press ENTER.}$

The screenshot is given as below

3. Select the hypothesis as H_{$1$: ${\sigma}_{1}<{\sigma}_{2}$} and press ENTER. Then arrow down to calculate, and press ENTER. The screenshot of the obtained output is given as below:

Thus,the value of F-statistic is $2.86$

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