AWAY: 12, 11, 15, 14, 12, 14, 18, 15, 19, 20, 16, 18, 13, 22, 16, 16, 17, 15, 16, 13, 15, 16, 17, 21, 14, 12, 14, 18, 21, 17

HOME: 12, 13, 16, 17, 15, 17, 18, 14, 18, 23, 19, 17, 18, 17, 17, 15, 21,19, 17, 18, 11, 16, 18, 22, 16, 11, 17, 21, 27, 19

The given table compares the performance (PPG (points per game)) of a professional basketball player over 30 games played at home and 30 games played away. The overall career average (mean) of this player is 15.5 points per game (PPG).

Using the given data, please answer the following questions:

A. Find mean and standard deviation for both the data sets (you can use excel to find these values). Compute the 95% of confidence interval for mean, mu (symbol would not paste), points per game scored, both at home and away. You must show your steps. Please interpret the results.

B Perform the hypothesis testing for the points scored per game (PPG) both at home and away games are different from the career average of the player. Use 1% level of significance. You must show your steps.

C. Compute the correlation coefficient, r, between both data sets in the space provided. You must show all the steps of calculation. Interpret the value of r.