1. MajorLeague Baseball has initiated new rules to speed up baseball games. The followingdatasetcomesfromasampleof50gamesplayedduringthe2017and2018seasons. Game times are reported in hours. Use the worksheet Baseball Time to answer the followingquestions.
   1. Specify the Null and Alternative Hypotheses that would indicate that there was areductioningametimesbetweenthe2017and2018season.

H_o:

H_a:

1. Historical data indicate a population standard deviation of 0.5 hours is areasonable assumption for both years. Conduct the hypothesis test and report the p-value. At=.05, what is the conclusion of your test? Report the estimated difference in times between games along with the p-value.
2. Approximately howmany minutes were baseball game times reduced from 2017 to 2018? Fromthese results, will baseball game times games continue to bean issue in future years?Explain.

Twoof the larger distribution