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Example: Automatic machines are used to fill liquid detergent into bottles. In a sample of 20 randomly selected bottles, the filling quantities were measured and the sample variance was calculated as s² = 0.0153mm. It was determined that if the variance of the detergent amounts exceeded o² = 0.01, the bottle was unacceptably under or overfilled. It is assumed that the distribution of the filling amount is normal. Then, for a = 0.05 significance level, explain whether there is a problem of under- or over- filling the bottles with the manufacturer's detergent according to this sample data?

Example: Automatic machines are used to fill liquid detergent into bottles. In a sample of 20 randomly selected bottles, the filling quantities were measured and the sample variance was calculated as s² = 0.0153mm. It was determined that if the variance of the detergent amounts exceeded o² = 0.01, the bottle was unacceptably under or overfilled. It is assumed that the distribution of the filling amount is normal. Then, for a = 0.05 significance level, explain whether there is a problem of under- or over- filling the bottles with the manufacturer's detergent according to this sample data?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Example: Automatic machines are used to fill liquid detergent into bottles. In a sample of 20 randomly selected bottles, the filling quantities were measured and the sample variance was calculated as s² = 0.0153mm. • It was determined that if the variance of the detergent amounts exceeded o² = 0.01, the bottle was unacceptably under or overfilled. • It is assumed that the distribution of the filling amount is normal. Then, for a = 0.05 significance level, explain whether there is a problem of under- or over- filling the bottles with the manufacturer's detergent according to this sample data?
Transcribed Image Text:Example: Automatic machines are used to fill liquid detergent into bottles. In a sample of 20 randomly selected bottles, the filling quantities were measured and the sample variance was calculated as s² = 0.0153mm. • It was determined that if the variance of the detergent amounts exceeded o² = 0.01, the bottle was unacceptably under or overfilled. • It is assumed that the distribution of the filling amount is normal. Then, for a = 0.05 significance level, explain whether there is a problem of under- or over- filling the bottles with the manufacturer's detergent according to this sample data?
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