Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X U( Suppose that 47 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? a N( c. What is the probability that the average of 47 children will be between 7 and 7.8 years 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 that the age of students at George Washington Elementary school is uniformly distributed between
5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X U
Suppose that 47 children from the school are surveyed. Then the sampling distribution is
b. What is the distribution of a? a N(
c. What is the probability that the average of 47 children will be between 7 and 7.8 years old?
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
Finding a Probability Using the Central Limit Theorem [+1
Finding Value Given a Probability Using the Central Limit Theorem +1
• The Central Limit Theorem For Sums 2 [+]
Hint
Submit Ouestion
Transcribed Image Text:Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X U Suppose that 47 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? a N( c. What is the probability that the average of 47 children will be between 7 and 7.8 years old? Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+1 Finding Value Given a Probability Using the Central Limit Theorem +1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Ouestion
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