School: SAT Scores Do students perform differently on the math versus the reading and writing portion of the SAT? Some educators believe that this might be the case. To study this phenomenon a study was conducted with two independent student groups. The first group consisted of a random sample of 10 student math scores that gave the following results:

760 800 560 650 530 430 790 580 675 630 The second group consisted of a random sample of 11 students reading and writing scores that gave the following results:

650 730 750 730 670 550 585 720 710 790 590 Test the claim that population variance in math score differs from the population variance in reading and writing scores on the SAT. Use a 5% level of significance.

please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find the value of the sample F statistic. What are the degrees of freedom? What assumptions are you making about the original distribution?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts

(a) through (c), will you reject or fail to reject the null hypothesis?

(e) Interpret your conclusion in the context of the application.AppendixLO1