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A test of a hypothesis about the SAT scores of California high school students based on an SRS of 515 students is done. The hypotheses

A test of a hypothesis about the SAT scores of California high school students based on an SRS of 515 students is done. The hypotheses are as follows.

Ho: =< 450
Ha: > 450

Assume that the population standard deviation is = 102. The test rejects Ho at the 1% level of significance. Is this test sufficiently sensitive to usually detect an increase of 12 points in the population mean SAT score? Answer this question by calculating the power of the test against the alternative = 462.

ans=

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