The Apprentice contestants’ performance ratings. Refer to the Significance study of contestants’ performances on the United Kingdom’s version of the TV show, The Apprentice, Exercise 2.9 (p. 67). Recall that the performance of each of 159 contestants was rated on a 20-point scale. Contestants were also divided into two groups: those who played for a job and those who played for a business partnership. These data (simulated, based on statistics reported in the article) are saved in the accompanying file. Descriptive statistics for each of the two groups of contestants are displayed in the accompanying StatCrunch printout.

a. Determine whether the performance ratings of contestants who played for a job are approximately normally distributed.

b. Determine whether the performance ratings of contestants who played for a business partnership are approximately normally distributed.