Question

Assume that you have a sample of n1 = 7, with the sample mean X1 = 44, and a sample standard deviation of S1 = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 30, and the sample standard deviation S2 = 8. Construct a 99% confidence interval estimate of the population mean difference between ?1 and ?2. Assume that the two population variances are equal. ? ? ?1 - ?2 ? ? (Round to two decimal places as needed.)

          Assume that you have a sample of n1 = 7, with the sample mean X1 = 44, and a sample standard deviation of S1 = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 30, and the sample standard deviation S2 = 8. Construct a 99% confidence interval estimate of the population mean difference between ?1 and ?2. Assume that the two population variances are equal.

? ? ?1 - ?2 ? ?
(Round to two decimal places as needed.)

Assume that you have a sample of n1 = 7, with the sample mean X1 = 44, and a sample standard deviation of S1 = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 30, and the sample standard deviation S2 = 8. Construct a 99% confidence interval estimate of the population mean difference between ?1 and ?2. Assume that the two population variances are equal.

? ? ?1 - ?2 ? ?
(Round to two decimal places as needed.)

Added by Richard S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kyle Luong

08/05/2023

Step 1

The formula for the standard error of the difference between the means is: SE = sqrt((s1^2/n1) + (s2^2/n2)) where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes. In this case, s1 = 6, n1 = 7, s2 = 8, and n2 = 15. SE = Show more…

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Assume that you have a sample of n1 = 7, with the sample mean X1 = 44, and a sample standard deviation of S1 = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 30, and the sample standard deviation S2 = 8. Construct a 99% confidence interval estimate of the population mean difference between μ1 and μ2. Assume that the two population variances are equal. (Round to two decimal places as needed.)