Boxes of Cheer detergent have the following statement: "Individual packages of Cheer may weight slightly more or less than the marked weight. This is due to normal variations incurred with high speed packaging machines. However, each day's production of Cheer will average slightly above the marked weight." Suppose the ratio of the variances of weights of two different sizes of boxes is to be estimated. A sample of 35 "98 oz." packages yielded weights with a sample variance of 1.45 ounces. A sample of 30 "42 oz." packages yielded weights with a sample variance of 1.05 ounces. Find a 95% confidence interval for the true ratio of the variances.

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 13PPS
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Boxes of Cheer detergent have the following statement: "Individual packages of Cheer may weight
slightly more or less than the marked weight. This is due to normal variations incurred with high speed
packaging machines. However, each day's production of Cheer will average slightly above the marked
weight."
Suppose the ratio of the variances of weights of two different sizes of boxes is to be estimated. A sample
of 35 "98 oz." packages yielded weights with a sample variance of 1.45 ounces. A sample of 30 "42 oz."
packages yielded weights with a sample variance of 1.05 ounces. Find a 95% confidence interval for the
true ratio of the variances.
Transcribed Image Text:Boxes of Cheer detergent have the following statement: "Individual packages of Cheer may weight slightly more or less than the marked weight. This is due to normal variations incurred with high speed packaging machines. However, each day's production of Cheer will average slightly above the marked weight." Suppose the ratio of the variances of weights of two different sizes of boxes is to be estimated. A sample of 35 "98 oz." packages yielded weights with a sample variance of 1.45 ounces. A sample of 30 "42 oz." packages yielded weights with a sample variance of 1.05 ounces. Find a 95% confidence interval for the true ratio of the variances.
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