In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. For these sample ratings, the mean is 8.33 while the standard deviation is 1.96. At the 0.01 level of significance, test the claim that this sample comes from a population with a mean rating of less than 10.00.
Use the traditional approach summarized in Figure 7-4. Draw a graph showing the test statistic and critical values. In each case, assume that the population has a distribution that is approximately normal and that the sample is randomly selected.