Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean Xn. What is the variance of the sample mean Xn?
Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean Xn. What is the variance of the sample mean Xn?
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 12PPS
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Question
Suppose that average male weight in the US is 175 pounds with a standard
deviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample
What is the variance of the sample mean Xn?
Expert Solution
Step 1
It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds.
Sample size n=1,000.
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