nment sample survey plans to sure the mean total cholesterol level of an SRS of men aged 20 to 34. The researc will report the mean x from their sample as an estimate of the mean total cholesterol level μ in this population. Explain to someone who knows no statistics what it means to say that is an "unbiased" estimator of μ. The sample mean is systematically higher than or lower than μ. is not The sample result x is an unoscu estimator of the population truthμ no matter what size SRS the study uses. Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample.
nment sample survey plans to sure the mean total cholesterol level of an SRS of men aged 20 to 34. The researc will report the mean x from their sample as an estimate of the mean total cholesterol level μ in this population. Explain to someone who knows no statistics what it means to say that is an "unbiased" estimator of μ. The sample mean is systematically higher than or lower than μ. is not The sample result x is an unoscu estimator of the population truthμ no matter what size SRS the study uses. Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A government sample survey plans to measure the mean total cholesterol level of an SRS of men aged 20 to 34. The researchers
will report the mean x from their sample as an estimate of the mean total cholesterol level μ in this population.
Explain to someone who knows no statistics what it means to say that x is an "unbiased" estimator of μ.
80
The sample mean
is
易
is not
The sample result x is an unoasca estimator of the population truth μ no matter what size SRS the study uses.
systematically higher than or lower than u.
Explain to someone who knows no statistics why a large sample gives more trustworthy results than a small sample.
O With a large sample, x is more likely to be close to μ, because with a larger sample comes less information and
therefore more uncertainty.
O With a large sample, x is more likely to be close to μ, because with a larger sample comes more information and
therefore less uncertainty.
Q
O With a large sample, x is more likely to be further away from μ, because with a larger sample comes more information
and therefore less uncertainty.
F5
With a large sample, x is more likely to be further away from μ, because with a larger sample comes less information
and therefore more uncertainty.
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