Question

question 6 of 8, step 1 of 3
correct
the board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 3.50 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 57 randomly selected calls. the mean wait time was calculated to be 3.76 minutes. assuming the population standard deviation is 0.80 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes with a 98% level of confidence?
step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below.
$h_0:mu = 3.50$
$h_a:mu\underline{\hspace{1cm}}3.50$
answer
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Explanation:

Step1: Identify the claim

The claim is that the mean wait - time for customers is longer than 3.50 minutes.

Step2: Determine the alternative hypothesis

The alternative hypothesis $H_a$ represents the claim. Since the claim is that $\mu>3.50$, the alternative hypothesis is $H_a:\mu > 3.50$.

Answer:

$H_0:\mu = 3.50$, $H_a:\mu>3.50$