Question

one cable company claims that it has excellent customer service. in fact, the company advertises that a technician will arrive within 45 minutes after a service call is placed. one frustrated customer believes this is not accurate, claiming that it takes over 45 minutes for the cable technician to arrive. the customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. the sample mean for this group is 47.9 minutes with a standard deviation of 7.6 minutes. assume that the population distribution is approximately normal. test the customers claim at the 0.01 level of significance. step 1 of 3: state the null and alternative hypotheses for the test. fill in the blank below. $h_0:mu = 45$ $h_a:mu$ ____ 45 answer $\
eq$ $<$ $>$

Explanation:

Step1: Identify the claim

The customer claims it takes over 45 minutes for the technician to arrive. The null hypothesis $H_0$ is the company's claim of $\mu = 45$. The alternative hypothesis $H_a$ should reflect the customer's claim of a longer - than 45 - minute arrival time.

Step2: Determine the symbol for $H_a$

Since the customer believes $\mu$ is greater than 45, the symbol for the alternative hypothesis is $>$.

Answer:

$H_a:\mu > 45$