Question

What is the $F$Statistic?

Short answer

The $F$ Statistic is $0.7414$.

Step-by-step solution

Given information

The F-statistic state that an entire ratio of two variances. Larger values denote a perfect distribution. Variances calculate dispersion, or how outlying the data are spread from the mean.

Explanation

The value of F-Statistic is calculated by using $Ti-83$ calculator. The method is shown below:
Click on STAT $\to$arrow over the TESTS $\to$arrow down to 2-sample F-test $\to$ENTER $\to$ arrow to the Stats and press
ENTER. It will be:

Explanation

Then, enter the values of $S{\mathrm{x}}_1=\sqrt{23.8},n_1=35,S{\mathrm{x}}_2=\sqrt{32.1}$, and $n_2=35$then press ENTER. It will be:

Explanation

Then, select the hypothesis as $H_1:{\sigma }_1<{\sigma }_2$and press ENTER. Then arrow down to calculate, press ENTER. Then it will be,