Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 1, Problem 35SE

a.

To determine

Calculate the value of s by using the range approximation.

b.

To determine

Calculate the values of y¯ and s.

c.

To determine

Find the values of a and b, such that there should be at least 75% of the observations on blood pressure between a and b, according to Tchebysheff’s theorem.

d.

To determine

Decide whether Tchebysheff’s theorem worked in this case, by finding the actual percentage of blood pressure readings in the interval in Part c.

State whether the observed percentage is greater than 75%.

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I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and  What is the p-value of this test? (p-value < 0.001-- incorrect)   Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this?     two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test?         p-value < 0.001

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