The mean SAT score In mathematics, J, Is 545. The standard deviation of these scores is 38. A special preparation course claims that its graduates will score higher, on average, than the mean score 545, A random sample of 33 students completed the course, and their mean SAT score in mathematics was 550. 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 38. 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.) OO (a) State the null hypothesis Ho and the alternative hypothesis H. H O P X S D H :0 (b) Determine the type of test statistic to use. (Choose one) O-0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) X 3 ? 0 (e) Can we support the preparation course's claim that its graduates score higher In SAT? Yes O No Check Save For Later Submit Assignment Accessibility