Major League Baseball ("MLB") implemented several new rules to speed up the pace of a professional baseball game so it does not last so long. Those changes include a running clock between innings, prohibiting batters from leaving the batter's box, and limiting the number of visits to the pitching mound by players and coaches, etc. Have the rule changes worked to speed up the game? Using a random sample of 60 baseball games, the average MLB game played in 2010 lasted 2 hours, 54 minutes. In contrast, a random sample of 56 games played in 2019 lasted, on average, 2 hours, 36 minutes. The standard deviation for the length of any baseball game is, and always has been 12 minutes regardless of year. A. What is the margin of error in minutes for the difference between the two population means at a 97% confidence? Provide your answer to 4 decimal places. B. What is the confidence interval estimate for the difference in minutes between the two population means at a 97% confidence? Provide your answers to 4 decimal places, "low value" to "high value." to C. Hypothesis testing. MLB wants to test the hypothesis that the new rules in 2019 have shortened the time of an average baseball game by at least 5 minutes. What is the proper statement of the hypothesis test criteria? HO: H1-H2 C Cs C= HA: H1-H2 C C# the correct hypothesis test conclusion, at Ho: H1-H2 C Os C- C < C C+ HA: H1 H2 D. Using the data from the sample, answer the five fill-in-the-blank questions, and make the correct hypothesis test conclusion, at a level of significance a=.10. Reject Ho if the test statistic of is C> C < the critical value of Reject Ho if the p-value of is 4 the value of a of 10 Based on these results, we should: C Reject Ho C Accept Ho E. Interpret the hypothesis test results based on your hypothesis test decision to Accept or Reject the null. If you are the commissoner of baseball who proposed the rule changes, are you happy with the hypothesis test results?