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Assume that SAT mathematics scores of students who attend small liberal arts college are N(μ,σ2= 8100)....

Assume that SAT mathematics scores of students who attend small liberal arts college are N(μ,σ2= 8100). We shall test H_0:μ= 530 against H_A: μ >530. Let the critical region be defined by C={ X: X ≥ 554.675}, where X is the sample mean of a random sample of size n = 36 from this distribution.

(a) What is the value of the significance level of this test?

(b) Calculate 1−β when μ= 560.

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