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.

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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

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Question

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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