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A principal claims the students in his school have above-average test scores for a particular standardized...

A principal claims the students in his school have above-average test scores for a particular standardized test.

A sample of 50 students from his school were found to have an average test score of 77.2.

The population mean for test scores for this particular test is 75, with a standard deviation of 9 (so we can assume that the population test score is normally distributed).

Set up a hypothesis test to determine whether this principal’s claim is correct (use alpha of 0.05), and determine what constitutes a Type I error and Type II error in this case.

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