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A manufactured is evaluating two types of equipment for the fabrication of component. A random sample of 50 is collected from first brand and 6 items are found to be defective. A random sample of 80 is collected from second brand and 8 items are found to be defective. n₁ = 50, x₁ = 6, n₂ = 80, x₂ = 8 a. Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 90% confidence interval estimate for the difference between the two population proportions.

A manufactured is evaluating two types of equipment for the fabrication of component. A random sample of 50 is collected from first brand and 6 items are found to be defective. A random sample of 80 is collected from second brand and 8 items are found to be defective. n₁ = 50, x₁ = 6, n₂ = 80, x₂ = 8 a. Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 90% confidence interval estimate for the difference between the two population proportions.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A manufactured is evaluating two types of equipment for the fabrication of component. A random sample of 50 is collected from first brand and 6 items are found to be defective. A random sample of 80 is collected from second brand and 8 items are found to be defective. n₁ = 50, x₁ = 6, n₂ = 80, x₂ = 8 a. Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 90% confidence interval estimate for the difference between the two population proportions.
Transcribed Image Text:A manufactured is evaluating two types of equipment for the fabrication of component. A random sample of 50 is collected from first brand and 6 items are found to be defective. A random sample of 80 is collected from second brand and 8 items are found to be defective. n₁ = 50, x₁ = 6, n₂ = 80, x₂ = 8 a. Determine if the sample sizes are large enough so that the sampling distribution for the difference between the sample proportions is approximately normally distributed. b. Calculate a 90% confidence interval estimate for the difference between the two population proportions.
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