a)
value of significance level =P(X>554.675)=P(Z>(554.675-530)*sqrt(36)/90)=P(Z>1.645) =0.05
b)
P(power)=P(Z>(554.675-560)*sqrt(36)/90)=P(Z>-0.355) =0.6387
Ignore handwriting (15 pts) Assume that SAT matkematcs scores of studeuts who attend s college are N(μ, σ2-8100). We shall test Ho : μ-530 against HA : μ > 530 Let the critical region be defined b...
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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