For a random sample drawn from a population, which of the following statement TRUE?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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For a random sample drawn from a population, which of the following statement is
TRUE?
O 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.
The sample mean is a number.
(n–1)S²
The scaled sample variance
follows a chi-squared distribution.
o2
Compared to the observed sample mean calculated from a dataset of size n=50,
the observed sample mean calculated from a dataset of size n=60 is guaranteed
to be a more accurate estimate of the population mean.
Transcribed Image Text:For a random sample drawn from a population, which of the following statement is TRUE? O 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. The sample mean is a number. (n–1)S² The scaled sample variance follows a chi-squared distribution. o2 Compared to the observed sample mean calculated from a dataset of size n=50, the observed sample mean calculated from a dataset of size n=60 is guaranteed to be a more accurate estimate of the population mean.
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