one concern in major league baseball is that the time to play games has become too long. there have been recent efforts to enforce rules that will speed up the game. in the data set baseball games we have data reporting a set of games that were played on a given day, where the columns, in order, report the game index, the teams playing the game, the league (either al or nl), the margin of victory, the number of pitchers, the attendance at the game, and the amount of time that the game took, in minutes. we will conduct a statistical test to determine if the average length of games is less than 200 minutes at the 95% confidence level. a. state the null hypothesis. b. state the alternative hypothesis. c. can we use a parametric test? explain in detail. d. independent from the answer given in the previous part, run a parametric statistical test. what is the p-value for the statistical test? show all steps. e. at a confidence level of 95%, would you reject or fail to reject the null hypothesis? f. if you conducted a t-test, use the nptest package to conduct the same hypothesis test. if you use the function np.boot to construct the 95% confidence interval for the mean, what is the confidence interval you get? based on the confidence interval you get, would you reject or fail to reject the null hypothesis? please use 1,000 bootstrap replicates and use the command set.seed(202210). note: please use help(np.boot) to find the related arguments in the function np.boot.