Consider the hypothesis test H0: μ1= μ2 against H1: μ1.Suppose that the sample sizes aren1 = 15 and n2 =μ2. Assume thatσ21 = σ22
andthat the data are drawn from normal distributions. Use α =0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.
1 answer:
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Answer:
Step-by-step explanation:
1) Rewriting for the sake of clarity:
2) To solve it, we need to turn the rational exponent equal to 1 via exponent rule of product. Multiplying 2/3 by its reciprocal 3/2 we get 1, since this is an equality we need to do it on the other side.