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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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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