Question

question 1 of 6, step 1 of 3
correct
fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. she interviews 34 randomly selected people who train in groups, and finds that they run a mean of 41.4 miles per week. assume that the population standard deviation for group runners is known to be 2.6 miles per week. she also interviews a random sample of 42 people who train on their own and finds that they run a mean of 42.4 miles per week. assume that the population standard deviation for people who run by themselves is 1.4 miles per week. test the claim at the 0.10 level of significance. let group runners training for marathons be population 1 and let individual runners training for marathons 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
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$
eq$

Explanation:

Step1: Identify the claim

The claim is to test if there is a significant difference between the means. This implies a two - tailed test.

Step2: Determine the alternative hypothesis

In a two - tailed test for comparing two population means $\mu_1$ and $\mu_2$, the alternative hypothesis is $H_a:\mu_1
eq\mu_2$.

Answer:

$
eq$