Consider the hypothesis test Ho: M₁ = ₂ against H₁:₁₂ with known standard deviations o₁ = 9 and 0₂ = 5. Suppose that sample sizes n₁ = 10 and n₂ = 15 and that x₁ = 4.8 and x₂ = 7.8. Use α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain = 0.05 if the true difference in means is 3? Assume that α = 0.05. (a) The null hypothesis places (e.g. 98.765). (b) The power is i (c) n₁ = n₂ = i V rejected. The P-value is i . Round your answer to three decimal . Round your answer to two decimal places (e.g. 98.76). Round your answer up to the nearest integer.

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Consider the hypothesis test H₁ μ₁ = µ₂ against H₁ = µ₁ ‡ #₂ with known standard deviations o
M
sample sizes #₁ = 10 and n₂ = 15 and that x₁ = 4.8 and x₂ = 7.8. Use α = 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain
@ = 0.05.
(a) The null hypothesis
places (e.g. 98.765).
(b) The power is i
(c) m₁ = 7₂ =
i
rejected. The P-value is i
=
=
. Round your answer to two decimal places (e.g. 98.76).
9 and 0₂ =
0.05 if the true difference in means is 3? Assume that
. Round your answer up to the nearest integer.
5. Suppose that
Round your answer to three decimal
Transcribed Image Text:Consider the hypothesis test H₁ μ₁ = µ₂ against H₁ = µ₁ ‡ #₂ with known standard deviations o M sample sizes #₁ = 10 and n₂ = 15 and that x₁ = 4.8 and x₂ = 7.8. Use α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain @ = 0.05. (a) The null hypothesis places (e.g. 98.765). (b) The power is i (c) m₁ = 7₂ = i rejected. The P-value is i = = . Round your answer to two decimal places (e.g. 98.76). 9 and 0₂ = 0.05 if the true difference in means is 3? Assume that . Round your answer up to the nearest integer. 5. Suppose that Round your answer to three decimal
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