Question 2 HOLL L LOV This year, the ACT score has a normal distribution with a mean of 20 points and a standard deviation of 4.6 points. Let X be the ACT score of a randomly selected student and let X be the average ACT score of a random sample of size 51. 1. Describe the probability distribution of X and state its parameters μ and o: X~ Select an answer (μl Select an answer N X² unknown T B LOV σ= 2. Explain why the Central Limit Theorem can or can not be applied The Central Limit Theorem for Sample Means Select an answer be applied because Select an answer can not can Select an answer Select an answer the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown the sample size is large (n>30) although the distribution of the original population is unknown the original population is normally distributed

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 2
LOV
JOV
This year, the ACT score has a normal distribution with a mean of 20 points and a standard deviation of 4.6
points. Let X be the ACT score of a randomly selected student and let X be the average ACT score of a
random sample of size 51.
1. Describe the probability distribution of X and state its parameters μ and o:
X~ Select an answer (fe
Select an answer
N
unknown
T
B
JOV
0 =
can not
can
2. Explain why the Central Limit Theorem can or can not be applied
The Central Limit Theorem for Sample Means Select an answer be applied because
Select an answer
Select an answer
Select an answer
the sample size is small (n<30) and the distribution of the original population is unknown
the distribution of the original population is unknown
the sample size is large (n>30) although the distribution of the original population is unknown
the original population is normally distributed
Transcribed Image Text:Question 2 LOV JOV This year, the ACT score has a normal distribution with a mean of 20 points and a standard deviation of 4.6 points. Let X be the ACT score of a randomly selected student and let X be the average ACT score of a random sample of size 51. 1. Describe the probability distribution of X and state its parameters μ and o: X~ Select an answer (fe Select an answer N unknown T B JOV 0 = can not can 2. Explain why the Central Limit Theorem can or can not be applied The Central Limit Theorem for Sample Means Select an answer be applied because Select an answer Select an answer Select an answer the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown the sample size is large (n>30) although the distribution of the original population is unknown the original population is normally distributed
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