Assume that the duration of human pregnancies can be described by a normal model with mean 269 days and standard deviation11 days. Complete parts a) through d) below. a) What percentage of pregnancies should last between 255 and 270 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 40pregnant women. Let y represent the mean length of their pregnancies. According to the central limit theorem, what is the mean and standard deviation SD(y) of the normal model of the distribution of the sample mean, y? The mean is ? SD(y)=? d) What is the probability that the mean duration of these patients' pregnancies will be less than 266 days?

Assume that the duration of human pregnancies can be described by a normal model with mean 269 days and standard deviation11 days. Complete parts a) through d) below. a) What percentage of pregnancies should last between 255 and 270 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 40pregnant women. Let y represent the mean length of their pregnancies. According to the central limit theorem, what is the mean and standard deviation SD(y) of the normal model of the distribution of the sample mean, y? The mean is ? SD(y)=? d) What is the probability that the mean duration of these patients' pregnancies will be less than 266 days?

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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Question

Assume that the duration of human pregnancies can be described by a normal model with mean 269 days and standard deviation11 days. Complete parts a) through d) below.

a) What percentage of pregnancies should last between 255 and 270 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 40pregnant women. Let y represent the mean length of their pregnancies. According to the central limit theorem, what is the mean and standard deviation SD(y) of the normal model of the distribution of the sample mean, y? The mean is ? SD(y)=?

d) What is the probability that the mean duration of these patients' pregnancies will be less than 266 days?

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