12. A new manufacturing process of component parts is being considered. Samples were takenimproves the proportion of defective components. 1425 of 1500 components from the existingprocess and 1920 of 2000 components from the new process were found to be non-defective.7580P1 == 0.05, P2= 0.04 and Pi - P2 = 0.05 - 0.04 = 0.0115002000a.Find a 99% confidence interval for the true difference in the fraction of defectivesbetween the existing and the new processes?b. Based on your answer in (a), is there any significant difference between the existing andthe new processes? Justify?

Given : p1^=0.05p2^ = 0.04 x1=75x2=80n1=1500n2=2000 p = x1+x2n1+n2 =75+801500+2000 = 0.0443

12. A new manufacturing process of component parts is being considered. Samples were taken improves the proportion of defective components. 1425 of 1500 components from the existing process and 1920 of 2000 components from the new process were found to be non-defective. 75 80 P. = 1500 0.05,Pa 0.04 and Pi - P, = 0.05 - 0.04 = 0.01 2000 Find a 99% confidence interval for the true difference in the fraction of defectives between the existing and the new processes? b. Based on your answer in (a), is there any significant difference between the existing and 2 Juutif?

12. A new manufacturing process of component parts is being considered. Samples were taken improves the proportion of defective components. 1425 of 1500 components from the existing process and 1920 of 2000 components from the new process were found to be non-defective. 75 80 P. = 1500 0.05,Pa 0.04 and Pi - P, = 0.05 - 0.04 = 0.01 2000 Find a 99% confidence interval for the true difference in the fraction of defectives between the existing and the new processes? b. Based on your answer in (a), is there any significant difference between the existing and 2 Juutif?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

12. A new manufacturing process of component parts is being considered. Samples were taken
improves the proportion of defective components. 1425 of 1500 components from the existing
process and 1920 of 2000 components from the new process were found to be non-defective.
75
80
P1 =
= 0.05, P2
= 0.04 and Pi - P2 = 0.05 - 0.04 = 0.01
1500
2000
a.
Find a 99% confidence interval for the true difference in the fraction of defectives
between the existing and the new processes?
b. Based on your answer in (a), is there any significant difference between the existing and
the new processes? Justify?

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