Suppose the following data are selected randomly from a population of normally distributed values.

45	51	43	48	43	57	54
39	42	48	45	39	44

Construct a 95% confidence interval to estimate the population mean.

(Round the intermediate values to 2 decimal places. Round your answers to 2 decimal places.)

According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours. Suppose the standard deviation is 11.6 hours and a random sample of 41 U.S. households is taken a.What is the probability that the sample average is more than 54 hours? b.What is the probability that the sample average is less than 48.6 hours? c.What is the probability that the sample average is less than 38 hours? If the sample average actually is less than 40 hours, what would it mean in terms of the Nielsen Media Research figures? d.Suppose the population standard deviation is unknown. If 66% of all sample means are greater than 48 hours and the population mean is still 50.4 hours, what is the value of the population standard deviation?