Question

Assume that you have a sample of n? = 8, with the sample mean X?? = 50, and a sample standard deviation of S? = 5, and you have an independent sample of n? = 14 from another population with a sample mean of X?? = 34, and the sample standard deviation S? = 7. Construct a 99% confidence interval estimate of the population mean difference between ?? and ??. Assume that the two population variances are equal. ? ?? - ?? ? (Round to two decimal places as needed.)

Name: Assume that you have a sample of n? = 8, with the sample mean X?? = 50, and a sample standard deviation of S? = 5, and you have an independent sample of n? = 14 from another population with a sample mean of X?? = 34, and the sample standard deviation S? = 7. Construct a 99% confidence interval estimate of the population mean difference between ?? and ??. Assume that the two population variances are equal. ? ?? - ?? ? (Round to two decimal places as needed.)
Uploaded: 2023-06-12T00:19:48-08:00
Duration: 5 min 26 s
Channel: Danielle Fairburn

          Assume that you have a sample of n? = 8, with the sample mean X?? = 50, and a sample standard deviation of S? = 5, and you have an independent sample of n? = 14 from another population with a sample mean of X?? = 34, and the sample standard deviation S? = 7. Construct a 99% confidence interval estimate of the population mean difference between ?? and ??. Assume that the two population variances are equal. ? ?? - ?? ? (Round to two decimal places as needed.)

Assume that you have a sample of n? = 8, with the sample mean X?? = 50, and a sample standard deviation of S? = 5, and you have an independent sample of n? = 14 from another population with a sample mean of X?? = 34, and the sample standard deviation S? = 7. Construct a 99% confidence interval estimate of the population mean difference between ?? and ??. Assume that the two population variances are equal. ? ?? - ?? ? (Round to two decimal places as needed.)

Added by Alyssa N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Danielle Fairburn

06/12/2023

Step 1

Obtain the sample mean, X, and the sample standard deviation, S: X = 50 and S = 5. Show more…

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Assume that you have a sample of n₁ = 8, with the sample mean X̄₁ = 50, and a sample standard deviation of S₁ = 5, and you have an independent sample of n₂ = 14 from another population with a sample mean of X̄₂ = 34, and the sample standard deviation S₂ = 7. Construct a 99% confidence interval estimate of the population mean difference between μ₁ and μ₂. Assume that the two population variances are equal. ≤ μ₁ - μ₂ ≤ (Round to two decimal places as needed.)