The mean SAT score in mathematics, u, is 596. The standard deviation of these scores is 47. A special preparation course clalms that its graduates will score higher, on average, than the mean score...

Extracted text: The mean SAT score in mathematics, u, is 596. The standard deviation of these scores is 47. A special preparation course clalms that its graduates will score higher, on average, than the mean score 596. A random sample of 90 students completed the course, and their mean SAT score in mathematics was 608. At the 0.05 level of significance, can we condude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 47. Perform a one-talled test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the preparation course's claim that its graduates score higher in SAT? *OYes ONo 日国回