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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Your answer is partially correct.
=
Consider the hypothesis test Ho: M₁ = ₂ against H₁:₁₂. Suppose that sample sizes are n₁ = 15 and ₂ 15, that X₁ = 4.8
and ₂ = 7.7 and that s = 4 and s2 = 6.24. Assume that = 2 and that the data are drawn from normal distributions. 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 ß = 0.05 if the true difference in means is - 2? Assume
that a = 0.05.
(a) The null hypothesis is
(e.g. 98.7654).
(b) The power is
(c) n₁ = n₂ =
0.95
34
rejected. The P-value is i
0.0022
Round your answer to four decimal places
. Round your answer to two decimal places (e.g. 98.76).
. Round your answer to the nearest integer.
Statistical Tables and Charts
Transcribed Image Text:Your answer is partially correct. = Consider the hypothesis test Ho: M₁ = ₂ against H₁:₁₂. Suppose that sample sizes are n₁ = 15 and ₂ 15, that X₁ = 4.8 and ₂ = 7.7 and that s = 4 and s2 = 6.24. Assume that = 2 and that the data are drawn from normal distributions. 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 ß = 0.05 if the true difference in means is - 2? Assume that a = 0.05. (a) The null hypothesis is (e.g. 98.7654). (b) The power is (c) n₁ = n₂ = 0.95 34 rejected. The P-value is i 0.0022 Round your answer to four decimal places . Round your answer to two decimal places (e.g. 98.76). . Round your answer to the nearest integer. Statistical Tables and Charts
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