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

$\text{2. Now enter the values of}S{x}_1=38.1n_1=15$

$S{\mathrm{x}}_2=22.5\text{and}{n}_2=15\text{then press ENTER.}$

The screenshot is given as below

3. Select the hypothesis as H_{$1$:${\mathrm{σ}}_1<{\mathrm{σ}}_2$} 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$2.86$