A population of scores has a mean of 40 and a standard deviation of 10.  Imagine that all possible samples of size n=45 are drawn from this population, and the mean of each sample is calculated, producing a distribution of sample means.  According to the Central Limit Theorem, the standard error of M will be ______ and the expected value of M will be _____. A) 1.49; 45 B) 1.49; 40 C) 4.47; 40 D) 4.47; 45

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A population of scores has a mean of 40 and a standard deviation of 10.  Imagine that all possible samples of size n=45 are drawn from this population, and the mean of each sample is calculated, producing a distribution of sample means.  According to the Central Limit Theorem, the standard error of M will be ______ and the expected value of M will be _____.

A) 1.49; 45
B) 1.49; 40
C) 4.47; 40
D) 4.47; 45
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