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Unformatted text preview: Section 11.1 Inferences from Matched Pairs A sampling method is independent when the individuals selected for one sample do not dictate which individuals are to be in the second sample. A sampling method is dependent (matched pairs) when the individuals selected to be in one sample are used to determine the individuals in the second sample. Requirements : 1. Sample data consist of dependent matched pairs 2. Samples are simple random samples 3. The number of matched pairs is greater than 30 or differences are normally distributed. d = individual difference between two values in a matched pair d = mean value of the differences d for the paired sample data (average of x y values) s d = standard deviation of the differences d for the paired sample data n = number of pairs of data d = mean value of the differences d for the population of paired data Hypotheses : H o : d = H 1 : d or d > or d < WE WILL ONLY CONSIDER THE TEST STATISTIC AND PVALUE IN THIS CHAPTER. YOU WILL NOT HAVE TO DRAW A PICTURE!! TEST STATISTIC and PVALUE come from the calculator. Hints: If you want L 1 to be bigger than L 2 (ie L 1 > L 2 ), do a righttailed test. d > If you want L 1 to be smaller than L 2 (ie L 1 < L 2 ) do a lefttailed test. d < STAT, TESTS, TTest (#2) will be 0 Select Data Choose L 3 Enter before data in L 1 . Enter after data in L 2 . Go to the title bar of L 3 and make L 3 = L 1 L 2 1 Example : In lowspeed crash test of five BMW cars, the repair costs were computed for a factory authorized repair center and an independent repair center. Is there sufficient evidence at = 0.01 to support the claim that the independent center has lower repair costs? Authorized repair center $797 $571 $904 $1147 $418 Independent repair center $523 $488 $875 $911 $297 I. H o : H 1 : II. = III. T.S. = t = IV. Pvalue = V. Reject H o or Do Not Reject H o VI. (conclusion) 2 Example : A researcher wanted to compare the pulse rates of identical twins to see whether there was any difference. Eight sets of twins were selected. At = 0.05, is there enough evidence to support the claim that there is a difference in the pulse rates of twins?...
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This note was uploaded on 01/06/2012 for the course MATH 1342 taught by Professor Lisajuliano during the Spring '12 term at Collins.
 Spring '12
 LisaJuliano

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