Chapter 2.5, Problem 2.84ACI

The Apprentice contestants’ performance ratings. Referto the Significance (April 2015) study of contestants’ performance on the popular TV show The Apprentice, Exercise 2.9c (p. 49). Recall that each of 159 contestants was rated (on a 20-point scale) based on their performance. The accompanying Minitab printout gives the mean and standard deviation of the contestant ratings, categorized by highest degree obtained (no degree, first degree, or postgraduate degree) and prize (job or partnership with Lord Sugar).

1. a. Give a practical interpretation of the mean rating for contestants with a first (bachelor’s) degree who competed for a job with Lord Sugar.
2. b. Find an interval that captures about 95% of the ratings for contestants with a first bachelor’s) degree who competed for a job with Lord Sugar.
3. c. An analysis of the data led the researchers to conclude that “when the reward for winning ... was a job, more academically qualified contestants tended to perform less well; however, this pattern is reversed when the prize changed to a business partnership.” Do you agree? Explain.