Introduction to Probability and Statistics for Engineers and Scientists
524 Chapter 12:Nonparametric Hypothesis Tests SOLUTION Running Program 12.3 yields that p-value=.177 Thus the hypothesis that th ...
12.4The Two-Sample Problem 525 TisT= 3 +4.5=7.5. Thep-value should be computed as when we assumed that all values were distinct. ...
526 Chapter 12:Nonparametric Hypothesis Tests Suppose that we desire a significance levelαtest ofH 0. If the observed value ofTi ...
12.4The Two-Sample Problem 527 Starting with the boundary condition P(1, 0,K)= { 0 K≤ 0 1 K> 0 , P(0, 1,K)= { 0 K< 0 1 K≥ ...
528 Chapter 12:Nonparametric Hypothesis Tests The p-value in the Two-sample Rank Sum Test Enter the size of sample 1: Enter the ...
12.4The Two-Sample Problem 529 This is given by rank ofX(i)=i+numberj:Yj<X(i) Summing overigives ∑n i= 1 rank ofX(i)= ∑n i= 1 ...
530 Chapter 12:Nonparametric Hypothesis Tests From this it follows that choosing thenrankings of the first sample is probabilis- ...
12.4The Two-Sample Problem 531 =2(1−.9498) =.1004 which can be compared with the exact value, as given in Example 12.4c, of .122 ...
532 Chapter 12:Nonparametric Hypothesis Tests Simulation Approximation to the p-value in Rank Sum Test Enter the size of sample ...
12.5The Runs Test for Randomness 533 The simulation approach, on the other hand, can require a great deal of computational time. ...
534 Chapter 12:Nonparametric Hypothesis Tests large or too small to be explained by chance. Specifically, if the observed number ...
12.5The Runs Test for Randomness 535 are distinct, thenn=m=N/2.) DefineI 1 ,...,INby Ij= { 1ifXj≤s-med 0 otherwise Now, if the o ...
536 Chapter 12:Nonparametric Hypothesis Tests and, similarly, PH 0 {R≥r}≈ 1 − ( r−μ σ ) Hence, for largenandm, thep-value of the ...
Problems 537 Problems.......................................................... A new medicine against hypertension was tested ...
538 Chapter 12:Nonparametric Hypothesis Tests Use these data to test the hypothesis that the median salary of physicians in 1990 ...
Problems 539 Patient N Before Treatment After Treatment 10 4.77 4.50 11 4.85 4.85 12 5.24 4.56 aValues given in grams per 100 ml ...
540 Chapter 12:Nonparametric Hypothesis Tests Sample Duplicates 6 1.96 1.98 7 1.95 2.03 8 1.96 2.03 9 1.92 2.01 10 2.00 2.12 Tes ...
Problems 541 15.The following are the burning times in seconds of floating smoke pots of two different types: Type X Type Y 481 ...
542 Chapter 12:Nonparametric Hypothesis Tests were discovered to have resettled in other sites. The following data give the disp ...
Problems 543 and 1987. Use it to test the hypothesis that the successive El Nino magnitudes ̃ constitute a random sample. Year a ...
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