The rank-sum test is sometimes thought of as a test for population medians. Under theassumptions of equal spread and shape, the means of two populations will differ if and onlyif the medians differ; therefore tests for equality of population means are also tests forequality of population medians. This exercise illustrates that when these assumptions areseriously violated, the rank-sum test can give misleading results concerning the equality ofpopulation medians. Consider the following two samples:X:23 4 5 620 40 50 60 70 80 90 100Y:-10 -9 -8 -7 -6 -5 -420 21 22 23 24 25 2627Show that both samples have the same median.Compute the P-value for a two-tailed rank-sum test. If small P-values provideevidence against the null hypothesis that the population medians are equal, would youconclude that the population medians are different?Do the assumptions of the rank-sum test appear to be satisfied? Explain why or whya.b.C.not.

Answered: Image /qna-images/answer/123dc67c-01cc-4e61-b534-b2a029519c80.jpg

Answered: The rank-sum test is sometimes thought…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For each scenario listed below, determine whether the scenario represents an Independent Samples or Dependent Samples (Matched Pairs) situation by placing the appropriate letter in the box provided. a. Comparing pre-test scores before training to post-test scores: OIndependent Samples OMatched Pairs b. Comparing the number of speeding tickets received by men to the number received by women: OIndependent Samples Matched Pairs c. Comparing pain levels of a group receiving a placebo to a group receiving a medicine: Independent Samples OMatched Pairs d. Comparing pain levels before and after treatment with magnetic therapy: Independent Samples OMatched Pairs
A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on if the instructions are given all in text, or if they are given primarily with visual illustrations. She randomly divides her class into two groups of 15, gives one group instructions in text and the second group instructions with visual illustrations. The following data summarizes the scores the students received on a test given after the lab. Let the populations be normally distributed with a population standard deviation of 5.32 points for both the text and visual illustrations. Text (Group 1) Visual Illustrations (Group 2) 57.3 59 45.3 57.6 87.1 72.9 61.2 83.2 43.1 64 87.3 76.7 75.2 78.2 88.2 64.4 67.5 89 86.2 72.9 67.2 88.2 54.4 43.8 93 97.1 89.2 95.1 52 84.1 Is there evidence to suggest that a difference exists in the comprehension of the lab based on the…
A two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二三 ||||| WORDS POWERED BY TINY
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
On a particular proposal of national importance, males and females cast votes as included in the following table In Favor Opposed Undecided Male 90 65 43 Female 115 74 32 Suggest an appropriate test for the data and analyze it at 1% level of significance.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use ? = 0.10. State the null and alternative hypotheses. -H0: ?12 > ?22 Ha: ?12 ≤ ?22 -H0: ?12 ≠ ?22 Ha: ?12 = ?22 -H0: ?12 ≤ ?22 Ha: ?12 > ?22 -H0: ?12 = ?22 Ha: ?12 ≠ ?22 Find the value of the test statistic. (Round your answer to two decimal places.) statistic=?? Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = ?? State your conclusion. -Reject H0. We can conclude that there is a difference between the population variances. -Do not reject H0. We cannot conclude that…
The number of complaints filed in the last month has been studied to verify customer dissatisfaction across the fast food establishments of one multinational company with locations in the United States and Mexico. A random sample of independent observations of establishments in each country is taken from which we know that: Sample Mean Sample Size Quasi Variance USA 5.2 25 12 Mexico 6.4 30 7
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