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A sample of size n = 16 is to be taken from a distribution that can reasonably be assumed to be Normal with a standard

A sample of size n = 16 is to be taken from a distribution that can reasonably be assumed to be Normal with a standard deviation of 100. The null hypothesis H0 : = 500 is to be tested against the alternative hypothesis H1 : = 520.

What is the power of the .01 level test ? Pr{X > 558.159 | = 520} = P r{(558.159 520)/25 | = 520} = P r{z > 1.526} =?

(A) .01 (B) .0635 (C) .199 (D) .25 5.

What is the .05 level test ? Reject if x > c, where c = 500 + 1.645(25) = 500 + 37.123 (

A) 530 (B) 500 (C) 541.125 (D) 558.159 (E) 568.159 6.

What is the power of the .05 level test ? Pr{X > 558.159 | = 520} = P r{(541.125 520)/25 | = 520} = P r{z > 0.845} =?

(A) .315 (B) .0635 (C) .199 (D) .25 7.

What is the .10 level test ? Reject if x| > c, where c = 500 + 1.282(25) = 500 + 32 =? (A) 500 (B) 510 (C) 520 (D) 532 1 8. What is the power of the .10 level test ?

(A) .315 (B) .50 (C) .60 (D) .70

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