Answered: 25-A factory produced a product it…

Name: 25-A factory produced a product it wanted to produce with three differ
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Description: 25-A factory produced a product it wanted to produce with three different techniques and the production time was min. are given in the table below. Production times do not provide parametric assumptions. When the hypothesis of difference between prod

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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Question

25-A factory produced a product it wanted to produce with three different techniques and the production time was min. are given in the table below. Production times do not provide parametric assumptions. When the hypothesis of difference between production times at 95% confidence level is investigated, which of the following is the test statistic value?

13.45

23.62

NS)

45.23

1.82

TO)

6.54

X
Y
20
38
18
25
35
17
19
22
30
10
15
12
8
16
11

Expert Solution

Step 1

Let X = sample 1

Y = sample 2

Z = sample 3

Sample	Value
1	20
1	25
1	19
1	10
1	8
2	38
2	35
2	22
2	15
2	16
3	18
3	17
3	30
3	12
3	11

Organizing the data in ascending order :

Sample	Value (In Asc. Order)
1	8
1	10
3	11
3	12
2	15
2	16
3	17
3	18
1	19
1	20
2	22
1	25
3	30
2	35
2	38

Now, assigning ranks (averaging the ranks in case of rank ties)

Sample	Value (In Asc. Order)	Rank	Rank (Adjusted for ties)
1	8	1	1
1	10	2	2
3	11	3	3
3	12	4	4
2	15	5	5
2	16	6	6
3	17	7	7
3	18	8	8
1	19	9	9
1	20	10	10
2	22	11	11
1	25	12	12
3	30	13	13
2	35	14	14
2	38	15	15

After rank adjustment :

Sample	Value	Rank (Adjusted for ties)
1	8	1
1	10	2
1	19	9
1	20	10
1	25	12
2	15	5
2	16	6
2	22	11
2	35	14
2	38	15
3	11	3
3	12	4
3	17	7
3	18	8
3	30	13

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