Injuries to Major League Baseball players have been increasing in current years. For the period 1992 to 2001, league expansion caused Major League Baseball rosters to raise 15%. But, the number of players being put on disabled list because of injury increased 32% over the same period (USA Today, July 8, 2002). A research question addressed whether Major League Baseball players being put on the disabled list are on the list longer in 2001 than players put on the disabled list a decade earlier.
Suppose the follwoing:
2001 Season: sample size (n1)=45, sample mean (x1)=60days, sample standard deviation(s1)=18days
1992 Season: sample size (n2)=38, sample mean (x2)=51days, sample standard deviation(s2)=15days
a. Determine the point estimate of the difference between population mean numbers of days on the disabled list for 2001 compared to 1992?
b. Determine the percentage increase in the sample average for the number of days on the disabled list, i.e., the increase of 60 days compared with 51 days? (Enter as a decimal, rounded to 3 decimal places)