Question

Here's a question from when DM taught this course: We hypothesize that students at DM’s lab have more psychotic episodes than the normal students at SFSU. A sample of 50 students from DM’s lab were randomly sampled and the mean number of psychotic episodes that they had per year was computed to be 27. Given the following information about the number of psychotic episodes per year that the general population at SFSU has, answer the following questions. µ = 25 psychotic episodes σ = 5 psychotic episodes a. For the distribution of sample means (n = 50) for this population, what is the mean of the distribution of sample means b. For the distribution of sample means (n = 50) for this population, what is the standard error of the mean? c. What is the null hypothesis d. Assuming that the null hypothesis is true, compute the z-score for DM’s lab's mean number of psychotic episodes. e. Let α = .05. What is the critical value of z that bounds this α-area in the tail of the normal curve (Assume a one tailed test, like the one we have here.) f. Given the critical value for z (from (e) above) and the z-score for DM’s lab's mean (from (d) above), are you licensed to reject the null hypothesis

Answer 1