Testing_for_Means 9.1-9.5

# Population hypothesis testing for population means

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online