Question: An earlier study claims that U.S. adults spend an average of 114 minutes with their families per day. A recently taken sample of 25 adults showed that they spend an average of 109 minutes per day with their families. The sample standard deviation is 11 minutes. Assume that the time spent by adults with their families has an approximate normal distribution. We wish to test whether the mean time spent currently by all adults with their families is less than 114 minutes a day. USE PH STAT SOLVE THE PROBLEM

a) Set up the null and alternative hypotheses.

b) Select the distribution to use. Explain briefly why you selected it.

c) Using the 2% significance level, determine the rejection and nonrejection regions based on your hypotheses in a). State the critical value. Please note that in order to perform a hypothesis test with ? =2%, you need to use PHStat.

d) Calculate the value of the test statistic.

e) Does the sample information support that the mean time spent currently by all adults with their families is less than 114 minutes a day? Explain your conclusion in words. Your explanation needs to be at least 5 – 7 sentences.