A nutritionist claims that children 13 to 15 years old are consuming less than the recommended iron intake of 20.5 mg. To test the nutritionist's claim of iron deficiency, a random sample of children 13 to 15 years old will be obtained. Assume that the data for iron intake follows the normal distribution with a standard deviation of 4.75 mg. Find the size of the sample that you should take if you want to estimate the true mean iron intake to within 1 mg with 99% confidence. O 62 O 149 150 O 61

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A nutritionist claims that children 13 to 15 years old are consuming
less than the recommended iron intake of 20.5 mg.
To test the nutritionist's claim of iron deficiency, a random
sample of children 13 to 15 years old will be obtained. Assume
that the data for iron intake follows the normal distribution
with a standard deviation of 4.75 mg. Find the size of the
sample that you should take if you want to estimate the true
mean iron intake to within 1 mg with 99% confidence.
62
149
O 150
O 61
Transcribed Image Text:A nutritionist claims that children 13 to 15 years old are consuming less than the recommended iron intake of 20.5 mg. To test the nutritionist's claim of iron deficiency, a random sample of children 13 to 15 years old will be obtained. Assume that the data for iron intake follows the normal distribution with a standard deviation of 4.75 mg. Find the size of the sample that you should take if you want to estimate the true mean iron intake to within 1 mg with 99% confidence. 62 149 O 150 O 61
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