Suppose that we are to conduct the following hypothesis test: H_0: mu = 900 H_1:

Question

Suppose that we are to conduct the following hypothesis test: H_0: mu = 900 H_1: mu > 900 Suppose that you also know that sigma = 230, n = 95, x = 941.4, and take a alpha = 0.05. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: 1.75 B. The rejection region for the standardized test statistic: (infinity, 1.645) C. The p-value is 0.040 D. Your decision for the hypothesis test. A. Reject H_1. B. Reject H_0. C. Do Not Reject H_1. D. Do Not Reject H_0.

Explanation / Answer

(a) Test Statistic:   

SE = s/n = 230/95 = 23.5975021

z = (x-bar - )/SE = (941.4 - 900)/23.5975020979585 = 1.754422982

(b) (1.644853627, )

(c) 0.039679028

(d) Option B.

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