Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 1.2 month. 17 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( 11 1.2 b. What is the distribution of a? ã - N( 11 1.2 c. What is the probability that one randomly selected person learned to walk when the person was between 10 and 12 months old? 0.5954 d. For the 17 people, find the probability that the average age that they learned to walk is between 10 and 12 months old. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average first time walking age for groups of 17 people. Q1 = months Q3 = months IQR: months

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose the age that children learn to walk is normally distributed with mean 11 months and standard
deviation 1.2 month. 17 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( 11
1.2
b. What is the distribution of x? ¤ - N( 11
1.2
c. What is the probability that one randomly selected person learned to walk when the person was
between 10 and 12 months old? 0.5954
d. For the 17 people, find the probability that the average age that they learned to walk is between 10
and 12 months old.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No
f. Find the IQR for the average first time walking age for groups of 17 people.
Q1 =
months
Q3 =
months
IQR:
months
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 1.2 month. 17 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( 11 1.2 b. What is the distribution of x? ¤ - N( 11 1.2 c. What is the probability that one randomly selected person learned to walk when the person was between 10 and 12 months old? 0.5954 d. For the 17 people, find the probability that the average age that they learned to walk is between 10 and 12 months old. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average first time walking age for groups of 17 people. Q1 = months Q3 = months IQR: months
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