The attached Excel file 2013 NCAA BB Tournament (https://www.webassign.net/useri

Question

The attached Excel file 2013 NCAA BB Tournament (https://www.webassign.net/userimages/2013%20ncaa%20tourney%20coaches%20salaries.xls?db=v4net&id=243163) shows the salaries paid to the coaches of 62 of the 68 teams in the 2013 NCAA basketball tournament (not all private schools report their coach's salaries). Consider these 62 salaries to be a sample from the population of salaries of all 346 NCAA Division I basketball coaches.

Question 1. Use the 62 salaries from the TOTAL PAY column to construct a 98% confidence interval for the mean salary of all basketball coaches in NCAA Division I.

_______ lower bound of confidence interval

_______ upper bound of confidence interval

Question 2. Coach Mike Krzyzewski's high salary is an outlier and could be significantly affecting the confidence interval results. Remove Coach Krzyzewski's salary from the data and recalculate the 98% confidence interval using the remaining 61 salaries.

_______ lower bound of confidence interval

_______ upper bound of confidence interval

Explanation / Answer

1) Mean of the total salary is 1465752

And the 98% conf interval is (1057349 ,1874155)

R-code to calc conf interval t.test(Total pay, conf.level = 0.98)

2) After removing the outlier

Mean of the total salary is  1371191

And the 98% conf interval is (1025180 ,1717201)

R-code to calc conf interval t.test(Total pay, conf.level = 0.98)

R-code to calc conf interval t.test(Total pay[2:62], conf.level = 0.98)

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