Testing_for_Means 9.1-9.5

Population hypothesis testing for population means

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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 short-cut 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 t-test 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 t-test (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.

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