Large-Sample Approximation

Get qr codes with .netgenerate, create qr bidimensional barcode none with .net projects

When both n1 and n2 are moderately large, say, greater than 8, the distribution of w1 can be well approximated by the normal distribution with mean n1 1n1 n2 2 12

Qr Barcode barcode library for .netUsing Barcode decoder for .net framework Control to read, scan read, scan image in .net framework applications.

and variance

read barcode for .netUsing Barcode scanner for .NET Control to read, scan read, scan image in .NET applications.

2 W1

Barcode generator for .netusing .net vs 2010 toinclude barcode in asp.net web,windows application

n1n2 1n1

n2 12

Control qr code iso/iec18004 image in .netgenerate, create qr barcode none with .net projects

CHAPTER 15 NONPARAMETRIC STATISTICS

Control qr code data in visual basicto develop qr-codes and qr code jis x 0510 data, size, image with vb barcode sdk

Therefore, for n1 and n2

Pdf417 2d Barcode integrated in .netgenerate, create pdf417 2d barcode none with .net projects

8, we could use

Bar Code integration in .netuse vs .net bar code creator toconnect bar code in .net

(15-8)

.NET Crystal bar code printer with .netgenerate, create bar code none with .net projects

as a statistic, and the appropriate critical region is 0 z0 0 z /2, z0 depending on whether the test is a two-tailed, upper-tail, or lower-tail test.

barcode library in .netgenerate, create none on .net projects

z , or z0

Use dun - 14 in .netusing .net framework crystal toaccess itf barcode for asp.net web,windows application

15-4.3

Control barcode data matrix data on excelto incoporate data matrix 2d barcode and barcode data matrix data, size, image with office excel barcode sdk

Comparison to the t-Test

.net Winforms bar code printing in .netusing barcode creator for .net for windows forms control to generate, create bar code image in .net for windows forms applications.

In Section 15-3.4 we discussed the comparison of the t-test with the Wilcoxon signed-rank test. The results for the two-sample problem are identical to the one-sample case. That is, when the normality assumption is correct, the Wilcoxon rank-sum test is approximately 95% as ef cient as the t-test in large samples. On the other hand, regardless of the form of the distributions, the Wilcoxon rank-sum test will always be at least 86% as ef cient. The ef ciency of the Wilcoxon test relative to the t-test is usually high if the underlying distribution has heavier tails than the normal, because the behavior of the t-test is very dependent on the sample mean, which is quite unstable in heavy-tailed distributions.

SQL Server linear drawer on .netusing reporting service 2008 toconnect 1d barcode for asp.net web,windows application

EXERCISES FOR SECTION 15-4

Code128 writer on visual c#.netusing barcode generator for asp.net aspx crystal control to generate, create code 128 barcode image in asp.net aspx crystal applications.

15-28. An electrical engineer must design a circuit to deliver the maximum amount of current to a display tube to achieve suf cient image brightness. Within her allowable design constraints, she has developed two candidate circuits and tests prototypes of each. The resulting data (in microamperes) are as follows: Circuit 1: 251, 255, 258, 257, 250, 251, 254, 250, 248 Circuit 2: 250, 253, 249, 256, 259, 252, 260, 251 Use the Wilcoxon rank-sum test to test H0: 1 2 against the alternative H1: 1 > 2. Use 0.025. 15-29. One of the authors travels regularly to Seattle, Washington. He uses either Delta or Alaska. Flight delays are sometimes unavoidable, but he would be willing to give most of his business to the airline with the best on-time arrival record. The number of minutes that his ight arrived late for the last six trips on each airline follows. Is there evidence that either airline has superior on-time arrival performance Use 0.01 and the Wilcoxon rank-sum test. Delta: 13, 10, 1, 4, 0, 9 (minutes late) Alaska: 15, 8, 3, 1, 2, 4 (minutes late) 15-30. The manufacturer of a hot tub is interested in testing two different heating elements for his product. The element that produces the maximum heat gain after 15 minutes would be preferable. He obtains 10 samples of each heating unit and tests each one. The heat gain after 15 minutes (in F) follows. Is there any reason to suspect that one unit is superior to the other Use 0.05 and the Wilcoxon rank-sum test. Unit 1: 25, 27, 29, 31, 30, 26, 24, 32, 33, 38 Unit 2: 31, 33, 32, 35, 34, 29, 38, 35, 37, 30 15-31. Use the normal approximation for the Wilcoxon rank-sum test for the problem in Exercise 15-28. Assume that 0.05. Find the approximate P-value for this test statistic. 15-32. Use the normal approximation for the Wilcoxon rank-sum test for the heat gain experiment in Exercise 15-30. Assume that 0.05. What is the approximate P-value for this test statistic 15-33. Consider the chemical etch rate data in Exercise 10-21. Use the Wilcoxon rank-sum test to investigate the claim that the mean etch rate is the same for both solutions. If 0.05, what are your conclusions 15-34. Use the Wilcoxon rank-sum test for the pipe de ection temperature experiment described in Exercise 10-20. If 0.05, what are your conclusions 15-35. Use the normal approximation for the Wilcoxon rank-sum test for the problem in Exercise 10-21. Assume that 0.05. Find the approximate P-value for this test. 15-36. Use the normal approximation for the Wilcoxon rank-sum test for the problem in Exercise 10-20. Assume that 0.05. Find the approximate P-value for this test.

Control qr code 2d barcode image on vb.netuse visual .net qr code jis x 0510 development toincoporate qr code for vb.net

Control code-39 image for javause java ansi/aim code 39 implementation todraw 39 barcode for java

Control code 39 extended image with microsoft wordusing barcode maker for word control to generate, create code 3 of 9 image in word applications.