A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Suppose that we are to conduct the following hypothesis test:

 

H0: μ=1020

H1:  μ>1020

Suppose that you also know that σ=220, n=95,x¯=1053, and take α=0.05. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the standardized test statistic: 

 

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic: 

 

C. The p-value is 

D. Your decision for the hypothesis test:

A. Do Not Reject H0.
B. Reject H1
C. Do Not Reject H1
D. Reject H0

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