Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.3 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( 11 2.3 b. What is the distribution of a? N( 11 0.4004 c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.2 months old? d. For the 33 people, find the probability that the average age that they learned to walk is between 10.6 and 11.2 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the 1QR for the average first time walking age for groups of 33 people. Q1 = months Q3 = months IQR: months Submit Question

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Suppose the age that children learn to walk is normally distributed with mean 11 months and standard
deviation 2.3 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( 11
2.3
b. What is the distribution of ? - N( 11
0.4004
c. What is the probability that one randomly selected person learned to walk when the person was
between 10.6 and 11.2 months old?
d. For the 33 people, find the probability that the average age that they learned to walk is between
10.6 and 11.2 months old.
e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
f. Find the IQR for the average first time walking age for groups of 33 people.
Q1 =
months
Q3 =
months
IQR:
months
Submit Question
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.3 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( 11 2.3 b. What is the distribution of ? - N( 11 0.4004 c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.2 months old? d. For the 33 people, find the probability that the average age that they learned to walk is between 10.6 and 11.2 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average first time walking age for groups of 33 people. Q1 = months Q3 = months IQR: months Submit Question
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