Question

The mean SAT score in mathematics, u, is 550. The standard deviation of these scores is 44. A special preparation course claims that its graduates will score higher, on average,

than the mean score 550. A random sample of 60 students completed the course, and their mean SAT score in mathematics was 553. 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 44.

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