Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2 month. 34 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 b. What is the distribution of x? a N( 11 0.3440 c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.3 months old? 0.1389 d. For the 34 people, find the probability that the average age that they learned to walk is between 10.6 and 11.3 months old. e. For part d), is the assumptinter an integer or decimal number, accurate to at least 4 decimal places [more..] f. Find the IQR for the average first time walking age for groups of 34 people. Q1 = months Q3 = months IQR: months

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 2 month. 34 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
b. What is the distribution of x? a - N( 11
0.3440
c. What is the probability that one randomly selected person learned to walk when the person was
between 10.6 and 11.3 months old? 0.1389
d. For the 34 people, find the probability that the average age that they learned to walk is between
10.6 and 11.3 months old.
e. For part d), is the assumptiSnter an integer or decimal number, accurate to at least 4 decimal places [more..]
f. Find the IQR for the average first time walking age for groups of 34 people.
Q1 =
months
%3D
Q3 =
months
%3D
IQR:
months
Hint:
Some Helpful Videos:
Finding the Sampling Distribution (+1
Finding a Probability Using the Central Limit Theorem D [+1
Finding Value Given a Probability Using the Central Limit Theorem
• The Central Limit Theorem For Sums It1
[+]
[+]
2.
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2 month. 34 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 b. What is the distribution of x? a - N( 11 0.3440 c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.3 months old? 0.1389 d. For the 34 people, find the probability that the average age that they learned to walk is between 10.6 and 11.3 months old. e. For part d), is the assumptiSnter an integer or decimal number, accurate to at least 4 decimal places [more..] f. Find the IQR for the average first time walking age for groups of 34 people. Q1 = months %3D Q3 = months %3D IQR: months Hint: Some Helpful Videos: Finding the Sampling Distribution (+1 Finding a Probability Using the Central Limit Theorem D [+1 Finding Value Given a Probability Using the Central Limit Theorem • The Central Limit Theorem For Sums It1 [+] [+] 2.
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