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MLB baseball games problem – Determination of Reduction, Mean duration, Confidence Interval

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During the 2003 season, MLB took steps to speed up the play of baseball games in order to maintain fan interest, the following results come from a sample of 60 games played during the summer of 2002. and a sample of 50 games played during the summer of 2003. the sample mean shows the mean duration of the games included in each sample.

2002 season 2003 season
N1 = 60 n2 = 50
X1 = 2 hours, 52 minutes x2 = 2 hours, 46 min

A research hypothesis was that the steps taken during the 2003 season would reduce the population mean duration of baseball games. Formulate the null and alternative hypothesis.
a) What is the point estimate of the reduction in the mean duration of games in the 2003 season?
b) Historical data indicate a population standard deviation of twelve minutes is a reasonable assumption for both years. Conduct the hypothesis test and perform the p value. At a .05 level of significance, what is your conclusion?
c) Provide a 95% confidence interval estimate of the reduction and the mean duration of games during the 2003 season.
d) What was the percentage reduction in the mean time of baseball games during the 2003 season? Should management be pleased with the results of the statistical analysis? Discuss.

Should the length of baseball games continue to be an issue in future years? Explain.

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