Brand C SOME METHODS BASED ON RANKS В A 82 84 73 79 80 64 71 81 67 75 77 62 70 Do these results indicate a significant difference between brands? If so, which brands Four job training programs were tried on 20 new employees, where 5 employees randomly assigned to each training program. The 20 employees were then placed under the same supervisor and, at the end of a certain specified period, the supervisor ranked the employees' according to job ability, with the lowest ranks being assigned to those appear to differ? were mme 2 employees with the lowest job ability Ranks Program PP 4, 6, 7, 2, 10 1, 8, 12, 3, 11 20, 19, 16, 14, 5 18, 15, 17, 13, 9 4 9 alh Do these data indicate a difference in the effectiveness of the various training programs? AA bort So, which ones seem to be different? 3. The amount of damage to the soil on a farm caused by water and wind is examined for many different farms. At the same time the type of farming practiced on each farm is noted, with the following results. Type of Farming Minimum Tillage Contour Amount of Damage Terrace Other Number of Farms No damage Slight damage Moderate damage Severe damage 17 19 21 4 3 10 4 0 2 34 2 0 0 2 Does the type of farming affect the degree of damage? If an significantly different? Three di ming are 1 23

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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Transcribed Image Text:Brand C SOME METHODS BASED ON RANKS В A 82 84 73 79 80 64 71 81 67 75 77 62 70 Do these results indicate a significant difference between brands? If so, which brands Four job training programs were tried on 20 new employees, where 5 employees randomly assigned to each training program. The 20 employees were then placed under the same supervisor and, at the end of a certain specified period, the supervisor ranked the employees' according to job ability, with the lowest ranks being assigned to those appear to differ? were mme 2 employees with the lowest job ability Ranks Program PP 4, 6, 7, 2, 10 1, 8, 12, 3, 11 20, 19, 16, 14, 5 18, 15, 17, 13, 9 4 9 alh Do these data indicate a difference in the effectiveness of the various training programs? AA bort So, which ones seem to be different? 3. The amount of damage to the soil on a farm caused by water and wind is examined for many different farms. At the same time the type of farming practiced on each farm is noted, with the following results. Type of Farming Minimum Tillage Contour Amount of Damage Terrace Other Number of Farms No damage Slight damage Moderate damage Severe damage 17 19 21 4 3 10 4 0 2 34 2 0 0 2 Does the type of farming affect the degree of damage? If an significantly different? Three di ming are 1 23

Expert Solution

Step 1

The hypotheses are given below:

Null hypothesis:

H0: There is no evidence that the data indicate a difference in the effectiveness of the various training programs.

Alternative hypothesis:

H1: There is evidence that the data indicate a difference in the effectiveness of the various training programs.

Step-by-step procedure to obtain the confidence interval using MINITAB software:

Choose Stat > Nonparametrics > Kruskal-Wallis.
In Response, enter the column of Ranks.
In Factor, enter the column of
Click OK in all the dialogue boxes.

Output obtained using MINITAB software is given below:

Kruskal-Wallis Test: Ranks versus Program
Descriptive Statistics
Program N Median Mean Rank Zz-Value
-2.05
6
5.8
8
7.0
-1.53
3
16
14.8
1.88
1.70
15
14.4
Overall
10.5
Test
Null hypothesis
Alternative hypothesis
Ho: All medians are equal
H: At least one median is different
DF H-Value P-Value
9.72
0.021

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