Question

Students interested in a career as an actuary often apply for a summer job with a life insurance company or consulting firm. Applicants for such a position are usually required to write a test to demonstrate their knowledge and abilities. The following data are the test scores of a random sample of 20 such applicants.

98733936498537279875476385717492298 4

(a) Use the procedure on p. 7 of BSPT to select the proper test/confidence interval for this data set.

(b) Based on (a), use the appropriate test to determine if the mean (median) test score for the population of applicants exceeds 50. (α = .10)

Outputs for Question 22

mean(di) = 52.25 median(di) = 51 sd(di) = 34.24813 Non-normality Test r = 0.9630928

Answer 1