Question

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 38.2. The second student's grades have a standard deviation of 22.5. The second student thinks his scores are lower. State the null and alternative hypotheses.

Answer 1

Answer:

$H_0=\sigma_1 =\sigma_2$

$H_a=\sigma_1 >\sigma_2$

Step-by-step explanation:

From the question we are told that

Number of math tests n=15

standard deviation 1 $\sigma _1=38.2$

standard deviation 1 $\sigma _2=22.5$

Generally given the two tailed test the null hypothesis is given as

$H_0=\sigma_1 =\sigma_2$

Generally given the two tailed test the null hypothesis is given as

$H_a=\sigma_1 >\sigma_2$