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 270 and 281 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 69 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this samplemean, 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 263 days? a) The percentage of pregnancies that should last between 270 and 281 days is nothing%. (Round to two decimal places as needed.) b) The longest 20% of all pregnancies should last at least nothing days. (Round to one decimal place as needed.) c) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. A Binomial model with nothing trials and a probability of success of nothing (Type integers or decimals rounded to two decimal places as needed.) B. A Normal model with mean nothing and standard deviation nothing (Type integers or decimals rounded to two decimal places as needed.) C. There is no model that fits this distribution. d) The probability that the mean duration of these patients' pregnancies will be less than 263 days is nothing. (Round to four decimal places as needed.)
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 270 and 281 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 69 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this samplemean, 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 263 days? a) The percentage of pregnancies that should last between 270 and 281 days is nothing%. (Round to two decimal places as needed.) b) The longest 20% of all pregnancies should last at least nothing days. (Round to one decimal place as needed.) c) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. A Binomial model with nothing trials and a probability of success of nothing (Type integers or decimals rounded to two decimal places as needed.) B. A Normal model with mean nothing and standard deviation nothing (Type integers or decimals rounded to two decimal places as needed.) C. There is no model that fits this distribution. d) The probability that the mean duration of these patients' pregnancies will be less than 263 days is nothing. (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Question
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
270
and
281
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
69
pregnant women. Let
y
represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this samplemean,
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
263
days?a) The percentage of pregnancies that should last between
270
and
281
days is
nothing%.
(Round to two decimal places as needed.)
b) The longest
20%
of all pregnancies should last at least
nothing
days.(Round to one decimal place as needed.)
c) Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
A Binomial model with
nothing
trials and a probability of success of nothing(Type integers or decimals rounded to two decimal places as needed.)
A Normal model with mean
nothing
and standard deviation nothing(Type integers or decimals rounded to two decimal places as needed.)
There is no model that fits this distribution.
d) The probability that the mean duration of these patients' pregnancies will be less than
263
days is
nothing.
(Round to four decimal places as needed.)
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