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The NCAA reported that the mean number of hours spent per week on coaching and recruiting by college football assistant coaches during the season was 70. A random sample of 50 assistant coaches showed the sample mean to be 68.6 hours, with a standard deviation of 8.2 hours.
a) Using the sample data, construct a 99% confidence interval for the population mean.

b) Does the 99% confidence interval include the value suggested by the NCAA?

c) Suppose you decide to switch from a 99 to a 95% confidence interval. Without performing any calculations, will the interval increase, decrease or stay the same? Which of the values in the formula will change?

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