The mean SAT score in mathematics is 565. the standard deviation of these scores is 49. A special preparation course claims that its graduate will score higher, on average than the mean score 575. A random sample of 50 students completed. And their SAT score in mathematics was 589. assume the population is normally distributed. At the 0.1 level of significance , can we conclude that the course preparation does what it claims. Assume the standard deviation of the scores of course graduates is also 48. Perform a one tail test then fill the table below. Carry your intermediate computations to at least three decimal places and round your responses as specified in the table.

The null hypothesis: H : The alternative hypothesis: T The type of test statistic: (Choose one) v 0=0 030 020 DX0 00 The value of the test statistic: ( Round to at least three decimal places.) X The critical value at the 0. 1 level of significance: (Round to at least three decimal places.) Can we support the preparation course's claim that its graduates score higher in SAT? Yes