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Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean-that is, between 6.4 and 7.6 pounds, or within one standard deviation of the mean? b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds? c. Explain the difference between (a) and (b).

Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean-that is, between 6.4 and 7.6 pounds, or within one standard deviation of the mean? b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds? c. Explain the difference between (a) and (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean-that is, between 6.4 and 7.6 pounds, or within one standard deviation of the mean? b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds? c. Explain the difference between (a) and (b).
Transcribed Image Text:Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean-that is, between 6.4 and 7.6 pounds, or within one standard deviation of the mean? b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds? c. Explain the difference between (a) and (b).
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