A college randomly surveyed students to determine if the number of credits are different for day students (who enrolled in day classes) and evening students (who enrolled in evening classes only) in the current semester. The data is shown in below: sd 72 8.7 3.1 Evening 68 5.9 3.7 (a) Dene #1 to be the mean number of credits for day students and #2 to be the mean number of credits for evening students. State null and alternative hypothesis. (b) Find the twosample ttest statistic (Don't forget to check model assumptions). (c) Calculate Pvalue using your calculator or R. (d) At a signicance level of o: = 0.01, state the decision { reject the null hypothesis or fail to reject the null hypothesis) and the conclusion under the context of question. (e) Create the 99% condence interval for the problem above (different mean number of credits for day students and evening students). How does this support your conclusion in part (c)