10_14_09 - STAT 409 Fall 2009 Examples for 10/14/2009...

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STAT 409 Examples for 10/14/2009 Fall 2009 Matched Pair Comparison: Pair Difference 1 X 1 Y 1 D 1 = X 1 – Y 1 2 X 2 Y 2 D 2 = X 2 – Y 2 n X n Y n D n = X n – Y n Assume that the differences D i = X i – Y i are a random sample from normal distribution with mean δ and standard deviation σ D . To test the hypothesis H 0 : δ = δ 0 , use the test statistic n s t D 0 D δ - = . n – 1 degrees of freedom 1. Dr. Statman claims that his new revolutionary diet-and-exercise plan allows participants to lose, on average, one pound per day (i.e., 7 pounds per week). Eight participants were weighed in the beginning of the program, and then again a week later. The results were as follows: Participant 1 2 3 4 5 6 7 8 Weight Before 213 222 232 201 230 188 218 182 Weight After 207 220 224 198 219 183 220 175 Pounds Lost 6 2 8 3 11 5 2 7 Recall that D = 5 pounds, and s D = 4 pounds. Is there enough evidence to conclude that the average weight loss is less that 7 pounds per week? (Use
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This note was uploaded on 10/12/2011 for the course STATISTICS stat 410 taught by Professor Stepanov during the Spring '11 term at University of Illinois, Urbana Champaign.

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10_14_09 - STAT 409 Fall 2009 Examples for 10/14/2009...

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