This question should be completed using JMP: Data Set: HOF-This data set includes career statistics and Hall of Fame Membership for 1,780 active and retired Major League Baseball players (pitchers excluded) through 2014. The variable HOF (Hall of Fame) identifies whether or not baseball players have been inducted into the Hall of Fame. A value of 0 indicates the player has not been inducted, while a value of 1 indicates that the player has been inducted. The variable RBI (Runs Batted In) is a common statistic used in baseball. The MLB dictionary defines RBI by staying, "A batter is credited with an RBI in most cases where the result of his plate appearance is a run being scored." Generally, an RBI of 100 is considered good. Consider this data set a simple random sample of all MLB players. We want to determine if the average RBI of all MLB players is different from 100. We also want to see if there is a difference between Hall of Fame players and Non-Hall of Fame Members.

1. Make and interpret a 95% confidence interval for the true average RBI of all MLB players. Based on this interval, does it seem plausible that the true average is different from 100? Be sure to include a screenshot of your Confidence Interval output from JMP and clearly mark which values represent the desired confidence interval. (5 points)

2. Make a hypothesis test at the 0.01 significance level to determine if the average RBI of all MLB players is different from 100.

1. What are they hypotheses? (3 points)

2. What is the significance level? (2 point)

3. What is the test statistic? (2 points)

4. What is the p-value? (2 points)

5. What is the decision? (2 points)

6. What is the conclusion? (2 points)

7. Include a screenshot of your JMP output for the hypothesis test. (1 point)