A MákinasI 35 B Makinası 85 22 - 42 72 54 26 75 46 48 95 O a) 31 O B) 9 O NS) 24 O D) 32 O TO) 16

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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22-

Monthly working hours of A and B Machines are given below. Find the result of the calculation regarding whether there is a difference between the working hours.

A Makinası
B Makinası
22 -
35
85
42
72
54
26
75
46
48
95
О а) 31
B) 9
O NS) 24
O D) 32
O TO) 16
Transcribed Image Text:A Makinası B Makinası 22 - 35 85 42 72 54 26 75 46 48 95 О а) 31 B) 9 O NS) 24 O D) 32 O TO) 16
Expert Solution
Step 1

Here machines A and B are independent but we do not know whether the data is Normal distribution or not

So , we will use non-parametric method i.e. Wilcoxon Rank-Sum Test Calculator 

Given Data :

X1X_1 = Machine A X2X_2 = Machine 2
35 85
42 72
54 26
75 46
48 95

Now, we will organize both the samples in ascending order :

Sample Value
2 26
1 35
1 42
2 46
1 48
1 54
2 72
1 75
2 85
2 95

Now,  assigning ranks for the ordered data above (assigning the average rank to values with rank ties )

Sample Value Rank Rank (Adjusted for ties)
2 26 1 1
1 35 2 2
1 42 3 3
2 46 4 4
1 48 5 5
1 54 6 6
2 72 7 7
1 75 8 8
2 85 9 9
2 95 10 10

 

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