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Assume that you have a sample of n, 8, with the sample mean X, 41, and a sample standard deviation of S₁ = 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of n of X₂ = 38, and the sample standard deviation S₂ = 5. Construct a 90% confidence interval estimate of the population mean difference between ₁ and ₂. Assume that the two population variances are equal.

Assume that you have a sample of n, 8, with the sample mean X, 41, and a sample standard deviation of S₁ = 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of n of X₂ = 38, and the sample standard deviation S₂ = 5. Construct a 90% confidence interval estimate of the population mean difference between ₁ and ₂. Assume that the two population variances are equal.

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Assume that you have a sample of n₁ = 8, with the sample mean X₁ =41, and a sample standard deviation of S₁ = 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂=38, and the sample standard deviation S₂ = 5. Construct a 90% confidence interval estimate of the population mean difference between ₁ and ₂. Assume that the two population variances are equal.
Transcribed Image Text:Assume that you have a sample of n₁ = 8, with the sample mean X₁ =41, and a sample standard deviation of S₁ = 7, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂=38, and the sample standard deviation S₂ = 5. Construct a 90% confidence interval estimate of the population mean difference between ₁ and ₂. Assume that the two population variances are equal.
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