Essay Question Instructions: Make sure you show all work on…

Essаy Questiоn Instructiоns: Mаke sure yоu show аll work on the five essay questions on scratch paper. Upload a PDF of your written work to the Canvas Upload module immediately after you finish the test. Most of the points are awarded based on your written work, not the final answer that you submit to each question. Essay Question 4: A researcher reads a paper introducing a new test of executive function. The authors of the paper had tested large samples of healthy volunteers and found that on average they score 55 on the new test. The researcher believes that patients with schizophrenia will score less than the healthy patient’s average on this test of executive function. They test 21 patients with schizophrenia. The average score for the patients is 48 with a standard deviation of 10.3. The data isn’t normal but isn’t overly skewed. Assuming a 5% level, is this significant evidence to support the researcher’s claim? (A) Write out the null and alternative hypotheses. (B) Is this test one-tailed or two-tailed? (C) Explain why the researches must use a t-test instead of a z-test. (D) Calculate the test statistic. (E) Is the evidence statistically significant? What is to be concluded about the null hypothesis? (F) Was the researcher successful? Explain it to someone who is unfamiliar with statistics.