Question

a professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. to test his claim, he looks at the mean exam score for a random sample of students from each of his classes. in class 1, the mean exam score for 18 students is 77.7 with a standard deviation of 3.6. in class 2, the mean exam score for 11 students is 81.9 with a standard deviation of 6.6. test the professors claim at the 0.01 level of significance. assume that both populations are approximately normal and that the population variances are equal. let class 1 be population 1 and let class 2 be population 2. step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below. $h_0:mu_1 = mu_2$ $h_a:mu_1$ ____ $mu_2$ answer > <

Explanation:

Step1: Identify the claim

The professor claims the two classes are not performing at the same level. This implies a two - tailed test.

Step2: Determine the alternative hypothesis

For a two - tailed test when the null hypothesis is $H_0:\mu_1=\mu_2$, the alternative hypothesis is $H_a:\mu_1
eq\mu_2$.

Answer:

$
eq$