One hundred draws are made at random with replacement from a box. The average of the box is 3.1. (a) True or false: the expected value for the average of the draws is exactly equal to 3.1. If this cannot be determined from the information given, what else do you need to know, and why? (b) What is the SE for the average of the draws? If this cannot be determined from the information given, what else do you need to know, and why?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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One hundred draws are made at random with replacement from a box. The average of the box is 3.1.

(a) True or false: the expected value for the average of the draws is exactly equal to 3.1. If this cannot be determined from the information given, what else do you need to know, and why?

(b) What is the SE for the average of the draws? If this cannot be determined from the information given, what else do you need to know, and why? 

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