Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 2.3 month. 32 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? ~ N(| c. What is the probability that one randomly selected person learned to walk when the person was between 12.8 and 13.3 months old? d. For the 32 people, find the probability that the average age that they learned to walk is between 12.8 and 13.3 months old.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 13
months and standard deviation 2.3 month. 32 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?
~ N(|
c. What is the probability that one
randomly selected person learned to walk
when the person was between 12.8 and 13.3 months old?
d. For the 32 people, find the probability that the average age that they learned
to walk is between 12.8 and 13.3 months old.
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 2.3 month. 32 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? ~ N(| c. What is the probability that one randomly selected person learned to walk when the person was between 12.8 and 13.3 months old? d. For the 32 people, find the probability that the average age that they learned to walk is between 12.8 and 13.3 months old.
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