Question

a new small business wants to know if its current radio advertising is effective. the owners decide to look at the mean number of customers who make a purchase in the store on days immediately following days when the radio ads are played as compared to the mean for those days following days when no radio advertisements are played. they found that for 15 days following no advertisements, the mean was 16.9 purchasing customers with a standard deviation of 0.9 customers. on 8 days following advertising, the mean was 18.1 purchasing customers with a standard deviation of 1.5 customers. test the claim, at the 0.05 level, that the mean number of customers who make a purchase in the store is lower for days following no advertising compared to days following advertising. assume that both populations are approximately normal and that the population variances are equal. let days following no advertisements be population 1 and let days following advertising 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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Explanation:

Step1: Identify the claim

The claim is that the mean number of customers who make a purchase in the store is lower for days following no - advertising compared to days following advertising. Let $\mu_1$ be the mean for days following no advertisements and $\mu_2$ be the mean for days following advertisements.

Step2: Determine the alternative hypothesis

Since we want to test if $\mu_1$ is lower than $\mu_2$, the alternative hypothesis $H_a$ should be $\mu_1<\mu_2$.

Answer:

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