company that sells glassware has two manufacturing plants. In a quality control inspection of a random sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a random sample of 200 pieces from plant B, 6% of the pieces had a defect

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A company that sells glassware has two manufacturing plants. In a quality control inspection of a
random sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a random
sample of 200 pieces from plant B, 6% of the pieces had a defect.

Lakenya M
1. A company that sells glassware has two manufacturing plants. In a quality control inspection of a
random sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a random
sample of 200 pieces from plant B, 6% of the pieces had a defect.
2.
(a) Is there convincing evidence there is a difference in quality between plant A and plant B? Use an alpha
level of 0.01.
Fo
(b) Construct and interpret a 99% confidence interval for the true difference in the proportion of pieces from
plant A that are defective and the proportion of pieces from plant B that are defective. (You do not need
to verify conditions again). How does this interval support your conclusion in part a.
Transcribed Image Text:Lakenya M 1. A company that sells glassware has two manufacturing plants. In a quality control inspection of a random sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a random sample of 200 pieces from plant B, 6% of the pieces had a defect. 2. (a) Is there convincing evidence there is a difference in quality between plant A and plant B? Use an alpha level of 0.01. Fo (b) Construct and interpret a 99% confidence interval for the true difference in the proportion of pieces from plant A that are defective and the proportion of pieces from plant B that are defective. (You do not need to verify conditions again). How does this interval support your conclusion in part a.
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