The mean SAT score in mathematics, µ, İS 531. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score...

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Extracted text: The mean SAT score in mathematics, µ, İS 531. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score 531. A random sample of 19 students completed the course, and their mean SAT score in mathematics was s35. Assume that the population is normally distributed. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 46. Perform a one-tailed 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 믐 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-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