Conduct a two-way hypothesis testing to prove whether there is a difference in the variance of the tea bags filling, from the two machines at a 0.05 significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Conduct a two-way hypothesis testing to prove whether there is a difference in the
variance of the tea bags filling, from the two machines at a 0.05 significance level.

The standard deviation or variance is an important measurement in a production process to
analyse the quality of a process. A large variance is an indicator that there is a need to
improve the production process by finding sources of variability in the output.
The following data is the result of calculating the standard deviation from two tea bags
filling machines.
Sample Size
Variance
Machine 1
25
0.04873
Machine 2
20
0.00620
Transcribed Image Text:The standard deviation or variance is an important measurement in a production process to analyse the quality of a process. A large variance is an indicator that there is a need to improve the production process by finding sources of variability in the output. The following data is the result of calculating the standard deviation from two tea bags filling machines. Sample Size Variance Machine 1 25 0.04873 Machine 2 20 0.00620
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