For a random sample drawn from a population, which of the following statement is TRUE? a) If the population is normal and the sample size is 5, the sample mean follows a normal distribution. The sample mean follows a normal distribution. b) Compared to the observed sample mean calculated from a dataset of size n=50, c) the observed sample mean calculated from a dataset of size n=60 is guaranteed to be a more accurate estimate of the population mean. The sample mean is a number. d) (n-1)s² The scaled sample variance follows a chi-squared distribution.

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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For a random sample drawn from a population, which of the following statement is
TRUE?
a) If the population is normal and the sample size is 5, the sample mean follows a
normal distribution.
The sample mean follows a normal distribution.
b)
Compared to the observed sample mean calculated from a dataset of size n=50,
c)
the observed sample mean calculated from a dataset of size n=60 is guaranteed
to be a more accurate estimate of the population mean.
The sample mean is a number.
The scaled sample variance
e)
(n-1)s²
o2
follows a chi-squared distribution.
Transcribed Image Text:For a random sample drawn from a population, which of the following statement is TRUE? a) If the population is normal and the sample size is 5, the sample mean follows a normal distribution. The sample mean follows a normal distribution. b) Compared to the observed sample mean calculated from a dataset of size n=50, c) the observed sample mean calculated from a dataset of size n=60 is guaranteed to be a more accurate estimate of the population mean. The sample mean is a number. The scaled sample variance e) (n-1)s² o2 follows a chi-squared distribution.
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