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A random sample is selected from a population with mean μ = 160 and standard deviation = 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n = 4 (b) n = 14 (c) n = 64 (d) n = 125 (e) n = 169 (f) n = 500

A random sample is selected from a population with mean μ = 160 and standard deviation = 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n = 4 (b) n = 14 (c) n = 64 (d) n = 125 (e) n = 169 (f) n = 500

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I already answer A-C so just answer D,E,F 

A random sample is selected from a population with mean μ = 160 and standard deviation = 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n = 4 (b) n = 14 (c) n = 64 (d) n = 125 (e) n = 169 (f) Step 1 n = 500 (a) n = 4 We are given that a random sample is selected from a population with mean μ = 160 and standard deviation = 13. We are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, X, for the sample size n = 4. Recall the general properties of the sampling distribution x. The mean is μ = μ, and the standard deviation is o-=- √n We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact. μ= = μ 160 = 6.5 13
Transcribed Image Text:A random sample is selected from a population with mean μ = 160 and standard deviation = 13. Determine the mean and standard deviation of the sampling distribution of x for each of the following sample sizes. (a) n = 4 (b) n = 14 (c) n = 64 (d) n = 125 (e) n = 169 (f) Step 1 n = 500 (a) n = 4 We are given that a random sample is selected from a population with mean μ = 160 and standard deviation = 13. We are asked to determine the mean and standard deviation of the sampling distribution of the sample mean, X, for the sample size n = 4. Recall the general properties of the sampling distribution x. The mean is μ = μ, and the standard deviation is o-=- √n We can use these formulas to make the desired calculations, rounding a result to three decimal places if it is not exact. μ= = μ 160 = 6.5 13
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