Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1.5 month. 15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the probability that one randomly selected person learned to walk when the person was between 11.5 and 12.5 months old? b. For the 15 people, find the probability that the average age that they learned to walk is between 11.5 and 12.5 months old. c. For part b, is the assumption that the distribution is normal necessary? O Yeso No d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal places. Q1 - months Q3 = months IQR: months

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Suppose the age that children learn to walk is normally distributed with mean 12 months and standard
deviation 1.5 month.
15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal
places vwhere possible.
a. What is the probability that one randomly selected person learned to walk when the person was
between 11.5 and 12.5 months old?
b. For the 15 people, find the probability that the average age that they learned to walk is between
11.5 and 12.5 months old.
c. For part b, is the assumption that the distribution is normal necessary? O Yeso No
d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal
places.
Q1 =
months
Q3 =
months
IQR:
months
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1.5 month. 15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places vwhere possible. a. What is the probability that one randomly selected person learned to walk when the person was between 11.5 and 12.5 months old? b. For the 15 people, find the probability that the average age that they learned to walk is between 11.5 and 12.5 months old. c. For part b, is the assumption that the distribution is normal necessary? O Yeso No d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal places. Q1 = months Q3 = months IQR: months
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