Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 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 S₂5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis Hopp against the alternative H₁: pp 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 independent normal distributions and equal variances. OB. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations OC. It is necessary to assume that the populations from which you are sampling have negative ISTAT fest statistics and unequal sample means. OD. it is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 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
H:1P2 against the alternative H₁: pp 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 independent normal distributions and equal variances.
B. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations.
OC. It is necessary to assume that the populations from which you are sampling have negative ISTAT fest statistics and unequal sample means.
OD. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.
Transcribed Image Text:Assume that you have a sample of n,8, with the sample mean X, 42, and a sample standard deviation of S, 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 H:1P2 against the alternative H₁: pp 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 independent normal distributions and equal variances. B. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. OC. It is necessary to assume that the populations from which you are sampling have negative ISTAT fest statistics and unequal sample means. OD. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.
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