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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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