A paper company manufactures cardboard boxes. The company wishes to investigate the effects of four production metho on the number of defective boxes produced in an hour. The company randomly selects three machine operators and trains each operator thoroughly to use all four production methods. Then each operator will produce boxes for one hour using e of the four production methods. Test the null hypothesis that the population mean number of defective boxes is the same the four production methods. Use the output below to answer the following questions. Use a significance level of 0.05 to conduct all hypothesis tests and construct confidence intervals. Analysis of Variance Sum of

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A paper company manufactures cardboard boxes. The company wishes to investigate the effects of four production methods
on the number of defective boxes produced in an hour. The company randomly selects three machine operators and trains
each operator thoroughly to use all four production methods. Then each operator will produce boxes for one hour using each
of the four production methods. Test the null hypothesis that the population mean number of defective boxes is the same for
the four production methods. Use the output below to answer the following questions. Use a significance level of 0.05 to
conduct all hypothesis tests and construct confidence intervals.
Analysis of Variance
Sum of
Source
DF
Squares Mean Square
F Ratio Prob >F
МЕТHOD
3 112.66667
37.5556 79.5294 <.0001*
OPERATOR
15.16667
7.5833
16.0588 0.0039*
Error
2.83333
0.4722
C. Total
11
130.66667
What is the within-treatment variability?
130.66667
37.5556
2.83333
112.66667
O 79.5294
Transcribed Image Text:A paper company manufactures cardboard boxes. The company wishes to investigate the effects of four production methods on the number of defective boxes produced in an hour. The company randomly selects three machine operators and trains each operator thoroughly to use all four production methods. Then each operator will produce boxes for one hour using each of the four production methods. Test the null hypothesis that the population mean number of defective boxes is the same for the four production methods. Use the output below to answer the following questions. Use a significance level of 0.05 to conduct all hypothesis tests and construct confidence intervals. Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob >F МЕТHOD 3 112.66667 37.5556 79.5294 <.0001* OPERATOR 15.16667 7.5833 16.0588 0.0039* Error 2.83333 0.4722 C. Total 11 130.66667 What is the within-treatment variability? 130.66667 37.5556 2.83333 112.66667 O 79.5294
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