Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 2 month. 33 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? x N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.7 and 13.3 months old? d. For the 33 people, find the probability that the average age that they learned to walk is between 12.7 and 13.3 months old. e. For part d), is the assumption that the distribution is normal necessary? Yes O No f. Find the IQR for the average first time walking age for groups of 33 people. Q1 = months Q3 = months IQR: months
Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 2 month. 33 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of x? x N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.7 and 13.3 months old? d. For the 33 people, find the probability that the average age that they learned to walk is between 12.7 and 13.3 months old. e. For part d), is the assumption that the distribution is normal necessary? Yes O No f. Find the IQR for the average first time walking age for groups of 33 people. Q1 = months Q3 = months IQR: months
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
![Suppose the age that children learn to walk is
normally distributed with mean 13 months
and standard deviation 2 month. 33 randomly
selected people were asked what age they
learned to walk. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X ~ N(
b. What is the distribution of x? x ~ N(
c. What is the probability that one
randomly selected person learned to
walk when the person was between
12.7 and 13.3 months old?
d. For the 33 people, find the probability
that the average age that they learned
to walk is between 12.7 and 13.3
months old.
e. For part d), is the assumption that the
distribution is normal necessary? Yes
O No
f. Find the IQR for the average first time
walking age for groups of 33 people.
Q1 =
months
Q3
IQR:
=
months
months](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff592c908-5fe4-46f5-b3d4-3020e7f71c73%2F84155165-ac33-4ad7-b6fe-1fd79ae3f8e9%2F2z6qyn8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose the age that children learn to walk is
normally distributed with mean 13 months
and standard deviation 2 month. 33 randomly
selected people were asked what age they
learned to walk. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X ~ N(
b. What is the distribution of x? x ~ N(
c. What is the probability that one
randomly selected person learned to
walk when the person was between
12.7 and 13.3 months old?
d. For the 33 people, find the probability
that the average age that they learned
to walk is between 12.7 and 13.3
months old.
e. For part d), is the assumption that the
distribution is normal necessary? Yes
O No
f. Find the IQR for the average first time
walking age for groups of 33 people.
Q1 =
months
Q3
IQR:
=
months
months
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