Question

One cable company claims that it has excellent customer service. in fact, the company advertises that a technician will arrive within 30 minutes after a service call is placed. one frustrated customer believes this is not accurate, claiming that it takes over 30 minutes for the cable technician to arrive. the customer asks a simple random sample of 16 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 31.7 minutes with a standard deviation of 8.9 minutes. assume that the population distribution is approximately normal. test the customer’s claim at the 0.10 level of significance. State the null and alternative hypotheses for the test.

Answer 1

The null hypothesis (H0) is that the average time for the cable technician to arrive is 30 minutes or less. The alternative hypothesis (H1) is that the average time for the cable technician to arrive is more than 30 minutes.

Step-by-step explanation:

To test the customer's claim at the 0.10 level of significance, we need to state the null and alternative hypotheses for the test.

The null hypothesis (H0) is that the average time for the cable technician to arrive is 30 minutes or less. The alternative hypothesis (H1) is that the average time for the cable technician to arrive is more than 30 minutes.

Therefore, the null and alternative hypotheses for the test are:

H0: μ ≤ 30 (where μ is the population mean)

H1: μ > 30