If all possible samples of size n=30 are selected from a population with H=80 and o=10 and the mean is computed for each sample, then what 1 point shape is expected for the distribution of sample means? The sample means tend to form a normal-shaped distribution only if the population distribution is normal. The mean of each sample will be very close to 80, hence the distribution of means will have little variability. The sample size of n=30 is too small to predict the shape of the distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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If all possible samples of size n=30 are selected from a population with
u=80 and o=10 and the mean is computed for each sample, then what
shape is expected for the distribution of sample means?
The sample means tend to form a normal-shaped distribution only if the population
distribution is normal.
The mean of each sample will be very close to 80, hence the distribution of means will
have little variability.
The sample size of n-30 is too small to predict the shape of the distribution.
The sample means tend to form a normal-shaped distribution whether the population
is normal or not.
Transcribed Image Text:If all possible samples of size n=30 are selected from a population with u=80 and o=10 and the mean is computed for each sample, then what shape is expected for the distribution of sample means? The sample means tend to form a normal-shaped distribution only if the population distribution is normal. The mean of each sample will be very close to 80, hence the distribution of means will have little variability. The sample size of n-30 is too small to predict the shape of the distribution. The sample means tend to form a normal-shaped distribution whether the population is normal or not.
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