A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestation period. She plans to select a random sample of birth weights such babies and use the mean of the sample to estimate u. Assuming that the population of birth weights of babies born during the 24" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.5 pounds of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestation
period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the population of
th
birth weights of babies born during the 24"" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95%
confident that her estimate is within 0.5 pounds of µ?
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)
Continue
Submit As
Transcribed Image Text:th A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, µ, of babies born during the 24"" week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the population of th birth weights of babies born during the 24"" week has a standard deviation of 2.6 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.5 pounds of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Continue Submit As
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