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```Chapter 6
Sampling
Distributions
Table SIA6.1
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Definition
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Definition
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Table 6.1
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6.1
The Concept of a Sampling Distribution
Figure 6.1 Comparing the sample mean  x 
and sample median (M) as estimators of the
population mean (m)
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Definition
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Figure 6.2 Sampling distribution for x
based on a sample of n = 25 temperature
measurements
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Figure 6.3 Two sampling distributions for
estimating the population variance s2
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Table 6.2
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Figure 6.4 Uniform distribution for thickness
of steel sheets
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Table 6.3
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Figure 6.5 MINITAB histograms for sample
mean and sample median, Example 6.2
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6.2
Properties of Sampling Distributions:
Unbiasedness and Minimum Variance
Definition
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Figure 6.6 Sampling distributions of
unbiased and bias estimators
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Definition
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Figure 6.7 Sampling distributions for two
unbiased estimators
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6.3
_
The Sampling Distribution of x and the
Central Limit Theorem
Figure 6.8 Sampled uniform population
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Figure 6.9 MINITAB histogram for sample
mean in 1,000 samples
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Definition
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Theorem
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Theorem
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Figure 6.10
Sampling
distributions
of x for
different
populations
and different
sample
sizes
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Figure 6.11 A population relative frequency
distribution and the sampling distribution for x
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Figure 6.12 The sampling distribution for
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