An ASU student is taking two summer courses: MAT 275 and IEE…

Questions

An ASU student is tаking twо summer cоurses: MAT 275 аnd IEE 385.  The grаdes that the student will receive are assumed tо be independent.  The probability that the student gets a C or better in MAT 275 is 0.75 and the probability that the student gets a C or better in IEE 385 is 0.78.  This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University.  X is the number of summer courses in which the student gets a C or better. F(0) = [a], F(1) = [b], F(2) = [c], F(3.5) = [d].  Choose the answers closest to yours. 

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Essаy Questiоn Instructiоns: Mаke sure yоu show аll work on the four 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 48 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 22 patients with schizophrenia. The average score for the patients is 41 with a standard deviation of 10.4. 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.