7.28 Consider the test Ho: μ = 70 versus Ha: >70 using a large sample of size n = 400. Assume o = 20. a. Describe the sampling distribution of x. b. Find the value of the test statistic if x = 72.5. c. Refer to part b. Find the p-value of the test.

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7.28 Consider the test Ho: μ = 70 versus Ha: > 70 using a
large sample of size n = 400. Assume o = 20.
a. Describe the sampling distribution of x.
b. Find the value of the test statistic if x = 72.5.
c. Refer to part b. Find the p-value of the test.
d. Find the rejection region of the test for a = .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?
Transcribed Image Text:7.28 Consider the test Ho: μ = 70 versus Ha: > 70 using a large sample of size n = 400. Assume o = 20. a. Describe the sampling distribution of x. b. Find the value of the test statistic if x = 72.5. c. Refer to part b. Find the p-value of the test. d. Find the rejection region of the test for a = .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?
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