QUESTION 3

A. The Director of a private radio station (KXYZ) of a small city reported that the average number of hours that its audience listen to its station is 4.5 hours per day. Its competitor believes that the listening time is less than what was reported. The competitor conducted a survey on the listenership of the station. A random sample of 25 listeners was asked the number of hours they listen to the KXYZ station per day, and the findings are shown below: = 95.85, Can we infer that the competitor is correct? Perform a test at 3% significance level. Assume that the population standard deviation is 0.75 hours.