Solution Found!
Consider the test versus using a large sample of size n =
Chapter 7, Problem 28E(choose chapter or problem)
Consider the test \(H_0: \mu=70\) versus \(H_{\mathrm{a}}: \mu>70\) using a large sample of size n = 400. Assume \(\sigma=20\).
a. Describe the sampling distribution of \(\bar{x}\).
b. Find the value of the test statistic if \(\bar{x}=72.5\).
c. Refer to part b. Find the p-value of the test.
d. Find the rejection region of the test for \(\alpha=.01\).
e. Refer to parts c and d}. Use the p-value approach to make the appropriate conclusion.
f. Repeat part e, but use the rejection region approach.
g. Do the conclusions, parts e and f, agree?
Questions & Answers
QUESTION:
Consider the test \(H_0: \mu=70\) versus \(H_{\mathrm{a}}: \mu>70\) using a large sample of size n = 400. Assume \(\sigma=20\).
a. Describe the sampling distribution of \(\bar{x}\).
b. Find the value of the test statistic if \(\bar{x}=72.5\).
c. Refer to part b. Find the p-value of the test.
d. Find the rejection region of the test for \(\alpha=.01\).
e. Refer to parts c and d}. Use the p-value approach to make the appropriate conclusion.
f. Repeat part e, but use the rejection region approach.
g. Do the conclusions, parts e and f, agree?
ANSWER:Step 1 of 8
Consider the test against
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Given a sample size n = 400,