Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15? What is the rank sum, W1, of Group 1? (round answer to 1 decimal place)| What is the value of the test statistic, U? (round answer to 1 decimal place)

Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15? What is the rank sum, W1, of Group 1? (round answer to 1 decimal place)| What is the value of the test statistic, U? (round answer to 1 decimal place)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the
significance level be 5%.
Group 1: 15, 17, 26, 11, 18, 21, 13, 29
Group 2: 23, 14, 24, 13, 22, 23, 18, 21
What rank will be given to the value 15?
What is the rank sum, W1, of Group 1? (round answer to 1 decimal place)
What is the value of the test statistic, U? (round answer to 1 decimal place)
Using the Mann Whitney Table of p-values, what is the p-value for this test? Round your U test statistic up to the next value to locate
on the table. (round answer to 4 decimal places) |

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