Susceptibility to hypnosis. The Computer-Assisted Hypnosis Scale (CAHS) is designed to mea...

Susceptibility to hypnosis. The Computer-Assisted Hypnosis Scale (CAHS) is designed to measure a person’s susceptibility to hypnosis. In computer-assisted hypnosis, the computer serves as a facilitator of hypnosis by using digitized speech processing coupled with interactive involvement with the hypnotic subject. CAHS scores range from 0 (no susceptibility) to 12 (extremely high susceptibility). A study in Psychological Assessment (March 1995) reported a mean CAHS score of 4.59 and a standard deviation of 2.95 for University of Tennessee undergraduates. Assume that μ = 4.29 and σ = 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  = 6 or higher? Explain.

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b. Suppose the psychologist actually observes  = 6.2. On the basis of your answer to part a, make an inference about the population from which the sample was selected.