Consider the test H0: = 70 versus Ha: > 70 using a large sample of

Question:

Consider the test H0: μ = 70 versus Ha: μ > 70 using a large sample of size n = 400. Assume s = 20.

a. Describe the sampling distribution of x̅.

b. Find the value of the test statistic if ̅ = 72.5.

c. Refer to part b. Find the p-value of the test.

d. Find the rejection region of the test for α = .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?

Distribution
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