### Wilcoxon Signed-Ranks Test for Comparing Hospital Admissions on Different DaysResearchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given for Friday the 6th and Friday the 13th in the same month. Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with median equal to zero at a significance level of $\alpha = 0.05$.#### Data| Date | Admissions ||------|-------------|| Fri. 6th | 9, 8, 7, 13, 11, 6 || Fri. 13th | 10, 9, 12, 6, 6, 12 |#### Statistical TestClick to view a table of critical values for the Wilcoxon signed-ranks test.- **Null Hypothesis ($H_0$)**: The population of differences has a median equal to 0.- **Alternative Hypothesis ($H_1$)**: The population of differences has a median not equal to 0.#### Steps for Calculation1. **Calculate the Test Statistic (T)** \[ T = \_\_\_ \]2. **Calculate the Critical Value** \[ The\ critical\ value\ is\ \_\_\_ \]#### Conclusion for this Hypothesis TestWhat is the conclusion for this hypothesis test?- **A.** Reject $H_0$. There is insufficient evidence to warrant rejection of the claim of no difference.- **B.** Fail to reject $H_0$. There is sufficient evidence to warrant rejection of the claim of no difference.- **C.** Fail to reject $H_0$. There is insufficient evidence to warrant rejection of the claim of no difference.- **D.** Reject $H_0$. There is sufficient evidence to warrant rejection of the claim of no difference. ### Critical Values of T for the Wilcoxon Signed-Ranks TestThe table below displays the critical values of $ T $ for the Wilcoxon Signed-Ranks Test, which is a non-parametric statistical hypothesis test used to compare paired samples to assess whether their population mean ranks differ. The table includes critical values for various sample sizes $ n $, under different significance levels $ \alpha $, for both one-tailed and two-tailed tests.#### Table: Critical Values of $ T $ for the Wilcoxon Signed-Ranks Test| $ n $ | $\alpha = 0.005$ (one tail) $0.01$ (two tails) | $\alpha = 0.01$ (one tail) $0.02$ (two tails) | $\alpha = 0.025$ (one tail) $0.05$ (two tails) | $\alpha = 0.05$ (one tail) $0.10$ (two tails) | $ n $ ||------|-------------------------------------------------|-------------------------------------------------|-------------------------------------------------|------------------------------------------------|-------|| 5 | * | * | * | 1 | 5 || 6 | * | * | 1 | 2 | 6 || 7 | * | 0 | 2 | 4 | 7 || 8 | 0 | 2 | 4 | 6 | 8 || 9 | 2 | 3 | 6 | 8 | 9 || 10 | 3 | 5 | 8 | 11 | 10 || 11 | 5 | 7 | 11 | 14 | 11 || 12 | 7 | 10 | 14 | 17 | 12 || 13 | 10 | 13 | 17 | 21 | 13 || 14 | 13 | 16 | 21 | 26

Given data: Fri, 6th 9 8 7 13 11 6 Fri, 13th 10 9 12 6 6 12

Answered: Researchers collected data on the…

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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