Question

two friends, karen and jodi, work different shifts for the same ambulance service. they wonder if the different shifts average different numbers of calls. looking at past records, karen determines from a random sample of 34 shifts that she had a mean of 5.3 calls per shift. she knows that the population standard deviation for her shift is 1.4 calls. jodi calculates from a random sample of 41 shifts that her mean was 4.7 calls per shift. she knows that the population standard deviation for her shift is 1.1 calls. test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.02 level of significance. let karens shifts be population 1 and let jodis shifts 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 claim is that there is a difference between the mean numbers of calls for the two shifts. This implies a two - tailed test.

Step2: Determine the alternative hypothesis

In a two - tailed test for comparing two means $\mu_1$ and $\mu_2$, the alternative hypothesis is $H_a:\mu_1
eq\mu_2$ when the null hypothesis is $H_0:\mu_1 = \mu_2$.

Answer:

$
eq$