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The mean SAT score in mathematics is 532 The standard deviation of these scores is...

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The mean SAT score in mathematics is 532 The standard deviation of these scores is 36 A special preparation course claims that the mean SAT score of its graduates is greater than 532 An independent researcher tests this by taking a random sample of 9 students who completed the course the mean SAT score in mathematics for the sample was 563 Assume that the population is normally distributed At the 0 05 level of significance can we conclude that the population mean SAT score for graduates of the course is greater than 532 Assume that the population standard deviation of the scores of course graduates is also 36 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 Ho and the alternative hypothesis H Ho O H 0 b Determine the type of test statistic to use 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 0 e Can we support the preparation course s claim that the population mean SAT score of its graduates is greater than 532 OYes No 1 X X O S OSO 0 0 P Q S 00 020 0 0

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