Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1 month. 18 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 T? T - N( c. What is the probability that one randomly selected person learned to walk when the person was between 11 and 13.5 months old? d. For the 18 people, find the probability that the average age that they learned to walk is between 11 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

MATLAB: An Introduction with Applications
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Suppose the age that children learn to walk is normally distributed with mean 12 months and standard
deviation 1 month. 18 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 æ? ¤ - N(
c. What is the probability that one randomly selected person learned to walk when the person was
between 11 and 13.5 months old?
d. For the 18 people, find the probability that the average age that they learned to walk is between 11
and 13.5 months old.
e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1 month. 18 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 æ? ¤ - N( c. What is the probability that one randomly selected person learned to walk when the person was between 11 and 13.5 months old? d. For the 18 people, find the probability that the average age that they learned to walk is between 11 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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