The mean SAT score in mathematics, u, is 546. The standard deviation of these scores is 40. A special preparation course claims that its graduates will score higher, on average, than the mean score 546. A random sample of 80 students completed the course, and their mean SAT score in mathematics was 548. At the 0.05 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 40.Perform a one-tailed test.

Then fill in the table below.Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis ?

The alternative hypothesis ?

The type of test statistic : Z

The value of the statistic test ? (3 decimal places)

The p value ? (3 decimal places)

Can we support the preparation courses claim that its graduates score higher on the sat ? y or n