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Unformatted text preview: e sample comes from a
normal population, use the
regardless of σ
known or unknown
1
The test statistic is ttest, t= ¯
x − µ0
√
S/ n where S is the standard deviation of the sample. 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 Small sample size test for µ (continued)
small n and no restriction on σ 2. Rejection region: compare tcalculated to ttable
For Ha : µ > µ0 , reject H0 if tcalculated >ttable where
ttable = tα ,n−1
For Ha : µ < µ0 , reject H0 if tcalculated <ttable
For Ha : µ = µ0 , reject H0 if tcalculated >ttable or
tcalculated <ttable where ttable = 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 tdistribution for small sample 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: CI for a onesample mean ¯
Given n = 100, y = 10, sd =2
¯
Question: Create a 95% CI for y CI = y ± tα /2 SE (¯)
¯∗
y 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 Calculating critical value t By hand using the ttable or pvalue Online Calculator for
t distribution 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 T...
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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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