The monthly salary of all adults in a certain US town is known to be right skewed with a mean of $3700. If a random sample of 40 adults were selected from that town, what would be the shape of the distribution of the sample mean? Why? O Approximately normal by the law of large numbers. O Approximately normal by the central limit theorem. Right skewed because the original distribution is right skewed. We cannot determine the shape of the distribution of the sample mean.

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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The monthly salary of all adults in a certain US town is known to be right
skewed with a mean of $3700. If a random sample of 40 adults were selected
from that town, what would be the shape of the distribution of the sample
mean? Why?
Approximately normal by the law of large numbers.
Approximately normal by the central limit theorem.
Right skewed because the original distribution is right skewed.
O We cannot determine the shape of the distribution of the sample mean.
Transcribed Image Text:The monthly salary of all adults in a certain US town is known to be right skewed with a mean of $3700. If a random sample of 40 adults were selected from that town, what would be the shape of the distribution of the sample mean? Why? Approximately normal by the law of large numbers. Approximately normal by the central limit theorem. Right skewed because the original distribution is right skewed. O We cannot determine the shape of the distribution of the sample mean.
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