One cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed. One frustrated...

1. One cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed.  One frustrated customer believes this is not the truth, claiming that it takes over 30 minutes for the cable repairman to arrive.  The customer asks 15 of his neighbors how long it has taken for the cable repairman to arrive when they have called for him.  The sample mean for this group is 32.2 minutes with a sample standard deviation of 3.6 minutes.  Test the customer’s claim at the 0.02 level of significance.

(a)  State the null and alternative hypotheses

(b)  Find the value of your test statistic.  Draw a picture and label its location on the normal curve.  Also shade the area where you will find the p-value.

(c)  Calculate the p-value from the sample data.  Compare it to the significance level.  Label it’s value and location on your bell curve

(d)  Write a full conclusion based on the above results