Therapeutic touch, n = 28. This exercise is an extension of Exercise 11.29. We add 8 observations to the initial 20, bringing the total sample size to 28. Each observation consists of 10 attempts to identify a human energy field, as previously discussed (see Figure 11.7). The number of correct identifications out of 10 was {1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8}.

(a) Plot the data as a stemplot. Are there any clear departures from Normality? Can you use t-procedures on these data? Explain your reasoning.

(b) Provide a 95% confidence interval for the mean number of correct identifications.