Week 7 notes
Week 7 notes STA3032
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This 2 page Class Notes was uploaded by Tia Belvin on Saturday March 12, 2016. The Class Notes belongs to STA3032 at University of Florida taught by Demetris Athienitis in Spring 2016. Since its upload, it has received 39 views. For similar materials see Engineering Statistics in Engineering and Tech at University of Florida.
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Date Created: 03/12/16
MODULE 4 ARTICLE I. INFERENCE FOR POPULATION MEANS 1) Confidence Intervals a. We can find confidence intervals of two differencesample means 2) Known Population Variances a. Let X and Y be to independent binomial random variables. b. A 100(1-α)% CI for the difference of the two meansfrom each random variable is: 3) Unknown population variance a. t-value is used 4) Large sample confidence intervals for two population proportions a. Let X and Y be to independent binomial random variables. b. Proportion p is the number of successes/n ̃ c. Let n =nx+2x d. Let p =(x+1)/ n x e. The CI is therefore: Note: the difference of two proportions should liebetween -1 and 1 5) Paired Data a. There are instances when two samples are not independent, this is when the data is paired. b. It is referred to as paired because we consider thedata in pairs, (X ,Y ) 1 1 c. We use the data set of differences, D =X -Y fo1 ca1cul1tion i. This reduces a 2 sample problem to a 1 sample problem d. This holds equivalently for the means of two separate samples e. NOTE: differences (D) can be incorporated into covariance by:
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