a. What is the distribution of X? X - N( b. What is the distribution of x? x ~ NO c. What is the probability that one randomly selected person learned to walk when the person was between 10.5 and 12.5 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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Question
Suppose the age that children learn to walk is normally
distributed with mean 11 months and standard deviation 1
month. 6 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 x? - N(
c. What is the probability that one randomly selected
person learned to walk when the person was between
10.5 and 12.5 months old?
d. For the 6 people, find the probability that the average
age that they learned to walk is between 10.5 and 12.5
months old.
e. For part d), is the assumption that the distribution is
normal necessary? Yes No
f.
Find the IQR for the average first time walking age for
groups of 6 people.
Q1
=
Q3
IQR:
||
months
months
months
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 1 month. 6 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 x? - N( c. What is the probability that one randomly selected person learned to walk when the person was between 10.5 and 12.5 months old? d. For the 6 people, find the probability that the average age that they learned to walk is between 10.5 and 12.5 months old. e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average first time walking age for groups of 6 people. Q1 = Q3 IQR: || months months months
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