The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.9 ounces and standard deviation 0.18 ounces. (a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with three of these chocolate bars is between 7.72 and 8.08 ounces? ANSWER: (b) For a SRS of three of these chocolate bars, what is the level I such that there is a 4% chance that the average weight is less than L? ANSWER:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The distribution of actual weights of 8-oz chocolate bars produced by a certain
machine is normal with mean 7.9 ounces and standard deviation 0.18 ounces.
(a) What is the probability that the average weight of a bar in a Simple Random
Sample (SRS) with three of these chocolate bars is between 7.72 and 8.08 ounces?
ANSWER:
(b) For a SRS of three of these chocolate bars, what is the level L such that there is a
4% chance that the average weight is less than I?
ANSWER:
Transcribed Image Text:The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 7.9 ounces and standard deviation 0.18 ounces. (a) What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with three of these chocolate bars is between 7.72 and 8.08 ounces? ANSWER: (b) For a SRS of three of these chocolate bars, what is the level L such that there is a 4% chance that the average weight is less than I? ANSWER:
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