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Unformatted text preview: n.
¯
d = ∑ndi be the sample mean of the diﬀerences of
n pairs of data.
2
Sd be the SD. We can calculate the variance Sd
using the shortcut formula:
(∑ d )2 ∑ di2 − n i
2
Sd =
n−1 S
¯
SE (d ) = √d
n
Conﬁdence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean
Comparing Two Means for Two Independent Populations
Comparing Two Means for Two Dependent Populations Paired ttest
Test of Hypotheses about µd
1H
0 : µd = µ0 , Ha : µd = µ0
2H
0 : µd = µ0 , Ha : µd > µ0
3H
0 : µd = µ0 , Ha : µd < µ0
Test Statistic
tcalculated = ¯
d − µ0
√
SD / n Rejection Rule:
1 Reject H
0 if t  > tα /2,(n−1) Conﬁdence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean
Comparing Two Means for Two Independent Populations
Comparing Two Means for Two Dependent Populations Conﬁdence Interval for Paired Samples
S
¯
d ± tα /2,n−1 · √d
n Conﬁdence Intervals and Hypothesis Testing for Population Hypothesis Testing for Population Means Hypothesis Testing for One Population Mean
Comparing Two Means for Two Independent Populations
Comparing Two Means for Two Dependent Populations Example of paired ttest (by hand)
An agricultural experiment station was interested in comparing the
yields for two new varieties of corn. Because the investigators
thought that there might be a great deal of variability in yield from
one farm to another, each var...
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This test prep was uploaded on 03/12/2014 for the course STATS 10 taught by Professor Ioudina during the Spring '08 term at UCLA.
 Spring '08
 Ioudina

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