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Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 1.2 pounds of the mean-that is, between 7.8 and 10.2 pounds, or within one standard deviation of the mean? b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; will be between 7.8 and 10.2 pounds? c. Explain the difference between (a) and (b). a. The probability is (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. The distribution of means is taller and narrower than the original distribution. Therefore, the distribution of means will have more observations located closer to the center of the distribution.

Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 1.2 pounds of the mean-that is, between 7.8 and 10.2 pounds, or within one standard deviation of the mean? b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; will be between 7.8 and 10.2 pounds? c. Explain the difference between (a) and (b). a. The probability is (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. The distribution of means is taller and narrower than the original distribution. Therefore, the distribution of means will have more observations located closer to the center of the distribution.

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 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have the mean? weight within 1.2 pounds of the mean-that is, between 7.8 and 10.2 pounds, or within one standard deviation of b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; will be between 7.8 and 10.2 pounds? c. Explain the difference between (a) and (b). a. The probability is: (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. The distribution of means is taller and than the original distribution. Therefore, the distribution of means will have narrower more observations located closer to the center of the distribution.
Transcribed Image Text:Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have the mean? weight within 1.2 pounds of the mean-that is, between 7.8 and 10.2 pounds, or within one standard deviation of b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; will be between 7.8 and 10.2 pounds? c. Explain the difference between (a) and (b). a. The probability is: (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. The distribution of means is taller and than the original distribution. Therefore, the distribution of means will have narrower more observations located closer to the center of the distribution.
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