1. For the period 1992 to 2991, league expansion caused major league baseball rosters to increase 1 5%. However, the number of players being put on the disabled list due to injury increased 32% over the same period [USA Today, Iuly El, 2992]. A research queson addressed whether major league players being put on the disabled list are on the list longer in 2091 than players put on the disabled list a decade earlier. The statistics for the two years are as follows: 2091 Season 1992 Season Sample Players 111 = 45 11.2 = 38 Avg. # of days f1 = 69 f2 = 51 Standard deviation 31 = 13 32 = 15 Assume that of = Hz. [a] [3 points] Establish a 95% condence interval to esmate the difference in the number of injury days hetereen the 2991 and 1992 seasons. [b] [3 points] Test the null hypothesis H\": {11 {12 - Ill against the alternative hypothesis Hg: #1 #2 2:- 9. Test this at the 19%. 5%, and 1% level of signicance. What do you conclude