Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.1 month. 14 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? - N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? d. For the 14 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average first time walking age for groups of 14 people. Q1 = Q3 = IQR: months months 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
Question
Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 1.1
month. 14 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? - N(
c. What is the probability that one randomly selected
person learned to walk when the person was between
12.5 and 13.5 months old?
d. For the 14 people, find the probability that the
average age that they learned to walk is between
12.5 and 13.5 months old.
e. For part d), is the assumption that the distribution is
normal necessary? Yes No
f. Find the IQR for the average first time walking age for
groups of 14 people.
Q1 =
Q3 =
IQR:
months
months
months
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.1 month. 14 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? - N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? d. For the 14 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average first time walking age for groups of 14 people. Q1 = Q3 = IQR: months months months
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