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Assume that you have a sample of n₁ = 8, with the sample mean X₁ = 42, and a sample standard deviation of S₁ = 4, and you have independent sample of n₂ = 15 from another population with a sample mean of X₂ = 34 and a sample standard deviation of S₂ = 5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis Ho: H₁ H₂ against the alternative H₁: ₁>₂ and make a statistical decision? Choose the correct answer below. OA. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. OB. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. necessary to assume that the populations from which you are sampling have unequal variances and equal sizes. OC. It is OD. It is necessary to assume that the populations from which you are sampling have negative ISTAT test statistics and unequal sample means.

Assume that you have a sample of n₁ = 8, with the sample mean X₁ = 42, and a sample standard deviation of S₁ = 4, and you have independent sample of n₂ = 15 from another population with a sample mean of X₂ = 34 and a sample standard deviation of S₂ = 5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis Ho: H₁ H₂ against the alternative H₁: ₁>₂ and make a statistical decision? Choose the correct answer below. OA. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. OB. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. necessary to assume that the populations from which you are sampling have unequal variances and equal sizes. OC. It is OD. It is necessary to assume that the populations from which you are sampling have negative ISTAT test statistics and unequal sample means.

MATLAB: An Introduction with Applications
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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Assume that you have a sample of n₁ = 8, with the sample mean X₁ = 42, and a sample standard deviation of S₁ = 4, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 34 and a sample standard deviation of S₂ = 5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis H₁: μ₁ = µ₂ against the alternative H₁: µ₁ > µ₂ and make a statistical decision? Choose the correct answer below. A. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. B. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. C. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes. D. It is necessary to assume that the populations from which you are sampling have negative tSTAT test statistics and unequal sample means.
Transcribed Image Text:Assume that you have a sample of n₁ = 8, with the sample mean X₁ = 42, and a sample standard deviation of S₁ = 4, and you have an independent sample of n₂ = 15 from another population with a sample mean of X₂ = 34 and a sample standard deviation of S₂ = 5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis H₁: μ₁ = µ₂ against the alternative H₁: µ₁ > µ₂ and make a statistical decision? Choose the correct answer below. A. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. B. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. C. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes. D. It is necessary to assume that the populations from which you are sampling have negative tSTAT test statistics and unequal sample means.
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