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a. For random samples of size n = 10, calculate the area under the sampling distribution curve for between the values μ-1 and μ + 1. That is, find the probability that the sample mean lies within ±1 unit of the population mean. b. Repeat the probability calculation in part (a) for samples of size n = 50, n = 100, and n = 1000. c. Graph the probabilities you found in parts (a) and (b) versus their corresponding sample sizes, n. What can you conclude from this graph?

a. For random samples of size n = 10, calculate the area under the sampling distribution curve for between the values μ-1 and μ + 1. That is, find the probability that the sample mean lies within ±1 unit of the population mean. b. Repeat the probability calculation in part (a) for samples of size n = 50, n = 100, and n = 1000. c. Graph the probabilities you found in parts (a) and (b) versus their corresponding sample sizes, n. What can you conclude from this graph?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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 Random samples of size n are taken from a normal population whose standard deviation is known to be 5.  Answer the following attached parts of this question:

a. For random samples of size n = 10, calculate the area under the sampling distribution curve for between the values μ-1 and μ + 1. That is, find the probability that the sample mean lies within ±1 unit of the population mean. b. Repeat the probability calculation in part (a) for samples of size n = 50, n = 100, and n = 1000. c. Graph the probabilities you found in parts (a) and (b) versus their corresponding sample sizes, n. What can you conclude from this graph?
Transcribed Image Text:a. For random samples of size n = 10, calculate the area under the sampling distribution curve for between the values μ-1 and μ + 1. That is, find the probability that the sample mean lies within ±1 unit of the population mean. b. Repeat the probability calculation in part (a) for samples of size n = 50, n = 100, and n = 1000. c. Graph the probabilities you found in parts (a) and (b) versus their corresponding sample sizes, n. What can you conclude from this graph?
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