Unformatted text preview: dependent simple random samples from 2
d x− 2
=1 x
populations
use difference between sample means
d x− 2
=1 x
random variable
use sampling distribution of as the
d x− 2
=1 x if both populations follow normalx−2 =1or if n1 and n2 are
E =1 x µ µ
d
( distribution −2
)
large enough for Central Limit Theorem to apply, then
σ2 σ 2
will have a normal distribution 2
σ= 1+
d
n n2
1
mean or expected value is Statistical Inference about the Mean
Difference between Two Populations with
Matched Data Pairs population sampling parameter: μd = x1– x2 xx
distribution ofd= 1− 2 Hypothesis Tests Statistical Inference about the Difference
between Two Population Means: Matched
Samples
Difference Between
Population Means
μd point estimator d standard error Hypothesis Tests parameter σd = sd
n margin of error tα 2 sd
n interval estimate d ± tα 2 degrees of
freedom n1
− sd
n Statistical Inference about the Difference
between Two Population Means: Matched
Samples
Difference Between
Population Means
μd point estimator d standard error Hypothesis Tests parameter σd = sd
n margin of error tα 2 sd
n interval estimate d ± tα 2 degrees of
freedom n1
− sd
n Parameter is
the mean
difference Statistical Inference about the Difference
between Two Population Means: Matched
Samples
Difference Between
Population Means
μd point estimator d standard error Hypothesis Tests parameter σd = sd
n margin of error tα 2 sd
n interval estimate d ± tα 2 degrees of
freedom n1
−...
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This document was uploaded on 03/05/2014.
 Spring '13

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