Consider the hypothesis test Ho: μ₁ and X2 - α = 0.05. 7.9 and that s 4 and s = = μ2 against H₁: M₁ = μ2. Suppose that sample sizes are n = 15 and 2 15, that x = 4.6 6.19. Assume that o₁ = 0 and that the data are drawn from normal distributions. Use (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 ẞ = 0.05 if the true difference in means is -2? Assume that a = 0.05. (a) The null hypothesis V rejected. The P-value is i Round your answer to four decimal places (e.g. 98.7654). (b) The power is i Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = i Round your answer to the nearest integer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Related questions
Question
Consider the hypothesis test Ho: μ₁
and X2
-
α = 0.05.
7.9 and that s 4 and s
=
= μ2 against H₁: M₁
=
μ2. Suppose that sample sizes are n =
15 and 2 15, that x = 4.6
6.19. Assume that o₁ = 0 and that the data are drawn from normal distributions. Use
(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 ẞ = 0.05 if the true difference in means is -2? Assume
that a = 0.05.
(a) The null hypothesis
V
rejected. The P-value is
i
Round your answer to four decimal places
(e.g. 98.7654).
(b) The power is
i
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 = i
Round your answer to the nearest integer.
Transcribed Image Text:Consider the hypothesis test Ho: μ₁ and X2 - α = 0.05. 7.9 and that s 4 and s = = μ2 against H₁: M₁ = μ2. Suppose that sample sizes are n = 15 and 2 15, that x = 4.6 6.19. Assume that o₁ = 0 and that the data are drawn from normal distributions. Use (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 ẞ = 0.05 if the true difference in means is -2? Assume that a = 0.05. (a) The null hypothesis V rejected. The P-value is i Round your answer to four decimal places (e.g. 98.7654). (b) The power is i Round your answer to two decimal places (e.g. 98.76). (c) n₁ = n2 = i Round your answer to the nearest integer.
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