PAIRED DIFFERENCE TEST Continued: Seven manufacturing companies agreed to implement a time management program in hopes of improving productivity. The times, in minutes, it took the companies to produce the same quantity and type of part are listed below. Does this information indicate the program decreased production time? Assume normal population distributions. Use 1% level of significance. Find the differences (A- B). (Hint: be careful about direction of test - what is the question being asked and how is difference calculated - make sure you use the correct signs) Company 2 3 4 5 6 7 Before Program (B) 75 112 91 96 82 104 110 After Program (A) 70 110 88 99 80 100 99 What distribution will you use for this test? Is this a right-tail, left-tail, or two-tail test? Which of the following curves represents this test? ighe tated Area-a Area Areaa Area Critical region Critical region regions Using the critical region method, what is the critical value(s) that separates the reject from the fail to reject regions?

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PAIRED DIFFERENCE TEST Continued:
Seven manufacturing companies agreed to implement a time management program in hopes of improving productivity. The times, in minutes, it took the companies to produce the same quantity and
type of part are listed below. Does this information indicate the program decreased production time? Assume normal population distributions. Use 1% level of significance. Find the differences (A-
В).
(Hint: be careful about direction of test - what is the question being asked and how is difference calculated - make sure you use the correct signs)
Company
1
3
4
5
6
7
Before Program (B)
75
112
91
96
82
104
110
After Program (A)
70
110
88
99
80
100
99
What distribution will you use for this test?
Is this a right-tail, left-tail, or two-tail test?
Which of the following curves represents this test?
(a) H: µ < k
Left-tailed
(b) H;: µ > k
Right-tailed
(c) H: u * k
Two-tailed
Area - a
Area = a/2
Area - /2
Area a
Critical region
Critical region
Critical regions
Using the critical region method, what is the critical value(s) that separates the reject from the fail to reject regions?
Transcribed Image Text:PAIRED DIFFERENCE TEST Continued: Seven manufacturing companies agreed to implement a time management program in hopes of improving productivity. The times, in minutes, it took the companies to produce the same quantity and type of part are listed below. Does this information indicate the program decreased production time? Assume normal population distributions. Use 1% level of significance. Find the differences (A- В). (Hint: be careful about direction of test - what is the question being asked and how is difference calculated - make sure you use the correct signs) Company 1 3 4 5 6 7 Before Program (B) 75 112 91 96 82 104 110 After Program (A) 70 110 88 99 80 100 99 What distribution will you use for this test? Is this a right-tail, left-tail, or two-tail test? Which of the following curves represents this test? (a) H: µ < k Left-tailed (b) H;: µ > k Right-tailed (c) H: u * k Two-tailed Area - a Area = a/2 Area - /2 Area a Critical region Critical region Critical regions Using the critical region method, what is the critical value(s) that separates the reject from the fail to reject regions?
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