a. What is the distribution of X? X-U Suppose that 38 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? - N( c. What is the probability that the average of 38 children will be between 8 and 8.6 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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Question
Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6
and 10 years old. 38 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 38 children from the school are surveyed. Then the sampling distribution is
b. What is the distribution of a? - N(
c. What is the probability that the average of 38 children will be between 8 and 8.6 years old?
Hint:
Some Helpful Videos:
• Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem 2 [+]
• The Central Limit Theorem For Sums [+]
Hint
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Transcribed Image Text:Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 38 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 38 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? - N( c. What is the probability that the average of 38 children will be between 8 and 8.6 years old? Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem 2 [+] • The Central Limit Theorem For Sums [+] Hint Submit Question
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