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Unformatted text preview: (a) P { T= 2 } (b) P { T= 5 } (c) P { T≤ 3 } 4. In order to test the eﬃciency of some new statistical software, it was tested against the old software using some real data. Each program was run on 10 data sets and timed to see how long it would take to produce the output. Test whether or not the new software runs signiﬁcantly faster using a signedrank test. Use α = 0 . 05. Data set Old program New Program 1 71.6 79.9 2 35.5 15.2 3 37.7 25.2 4 35.4 21.0 5 37.5 27.3 6 75.8 67.1 7 41.6 36.3 8 80.1 98.5 9 61.3 87.9 10 37.9 32.2 5. For the 300 observations in the data set to test H : θ = 0 versus H A : θ 6 = 0 where θ is the median of the distribution, we calculated the signedrank statistics T= 25 , 850. 1 (a) Calculate T + . (b) Calculate E T when the null hypothesis is true. (c) Is there suﬃcient evidence to reject the null hypothesis at a α = 0 . 05? Calculate the appropriate P value. 2...
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 Spring '08
 EduardoMontoya
 Statistics, Null hypothesis, #

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