The mean SAT score in mathematics,u , is 593. The standard deviation of these scores is 35 . A special preparation course claims that its graduates will score higher, on average, than the mean score 593. A random sample of 50 students completed the course, and their mean SAT score in mathematics was 602. At the 0.01 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 35.

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.