X is distributed as a Normal random variable with mean of 100 and a standard deviation of 10 (i.e X~N(100,10). You take a random sample of 20 items from X and you calculate the average of this sample. Of course, someone else could take a random sample of 20 items, calculate the average, and get a slightly different number. The sample average, then, is itself a random variable with its own mean (of 100) and standard deviation. What is the standard deviation of the sample averages?
X is distributed as a Normal random variable with mean of 100 and a standard deviation of 10 (i.e X~N(100,10). You take a random sample of 20 items from X and you calculate the average of this sample. Of course, someone else could take a random sample of 20 items, calculate the average, and get a slightly different number. The sample average, then, is itself a random variable with its own mean (of 100) and standard deviation. What is the standard deviation of the sample averages?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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