Use StatCrunch’s sampling distribution applet (under Applets > Sampling distributions) to simulate the sampling distribution of the sample mean if the population is uniform.  Use a sample size of 30 and generate at least 50,000 samples a) Verify that the sampling distribution is approximately normal by visually inspecting the green histogram of the sample means b) Verify that the mean of the sampling distribution approximately equals the mean of the population c) Verify that the standard deviation of the sampling distribution (standard error) approximately equals the standard deviation of the population divided by the square root of the sample size

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Use StatCrunch’s sampling distribution applet (under Applets > Sampling distributions) to simulate the sampling distribution of the sample mean if the population is uniform.  Use a sample size of 30 and generate at least 50,000 samples

a) Verify that the sampling distribution is approximately normal by visually inspecting the green histogram of the sample means

b) Verify that the mean of the sampling distribution approximately equals the mean of the population

c) Verify that the standard deviation of the sampling distribution (standard error) approximately equals the standard deviation of the population divided by the square root of the sample size

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