A random sample of 200 bolts from machine A contained 22 defective bolts, while an independently chosen, random sample of 400 bolts from machine B contained 40 defective bolts. Let p₁ be the proportion of the population of all bolts from machine A that are defective, and let p₂ be the proportion of the population of all bolts from machine B that are defective. Find a 90% confidence interval for p₁ -P2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: -0.0541 X Upper limit: 0.0341 E

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A random sample of 200 bolts from machine A contained 22 defective bolts, while an independently chosen, random sample of 400 bolts from machine B
contained 40 defective bolts. Let p₁ be the proportion of the population of all bolts from machine A that are defective, and let p₂ be the proportion of the
population of all bolts from machine B that are defective. Find a 90% confidence interval for p₁ -P2. Then find the lower limit and upper limit of the 90%
confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of
formulas.)
Lower limit: -0.0541
X
Upper limit:
0.0341
E
Transcribed Image Text:A random sample of 200 bolts from machine A contained 22 defective bolts, while an independently chosen, random sample of 400 bolts from machine B contained 40 defective bolts. Let p₁ be the proportion of the population of all bolts from machine A that are defective, and let p₂ be the proportion of the population of all bolts from machine B that are defective. Find a 90% confidence interval for p₁ -P2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: -0.0541 X Upper limit: 0.0341 E
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