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Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 17 days. a) What percentage of pregnancies should last between 273 and 282 days? b) At least how many days should the longest 20% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 65 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patients' pregnancies will be less than 264 days?

Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 17 days. a) What percentage of pregnancies should last between 273 and 282 days? b) At least how many days should the longest 20% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 65 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patients' pregnancies will be less than 264 days?

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
Section10.3: Measures Of Spread
Problem 1GP
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Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 17 days. a) What percentage of pregnancies should last between 273 and 282 days? b) At least how many days should the longest 20% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 65 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patients' pregnancies will be less than 264 days?
Transcribed Image Text:Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 17 days. a) What percentage of pregnancies should last between 273 and 282 days? b) At least how many days should the longest 20% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 65 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, y? Specify the model, mean, and standard deviation. d) What's the probability that the mean duration of these patients' pregnancies will be less than 264 days?
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