Susceptibility to hypnosis. The Computer-Assisted Hypnosis Scale (CAHS) is designed to measure a person’s susceptibility to hypnosis. CAHS scores range from 0 (no susceptibility) to 12 (extremely high susceptibility).

A study in Psychological Assessment (Mar. 1995) reported a mean CAHS score of 4.59 and a standard deviation of 2.95 for University of Tennessee undergraduates. Assume that m = 4.59 and s = 2.95 for this population. Suppose a psychologist uses the CAHS to test a random sample of 50 subjects.

a. Would you expect to observe a sample mean CAHS score of x = 6 or higher? Explain.

b. Suppose the psychologist actually observes x = 6.2. On the basis of your answer to part

a, make an inference about the population from which the sample was selected.