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 МЕТНOD 3 112.66667 37.5556 79.5294 <.0001* OPERATOR Error C. Total 2 15.16667 7.5833 16.0588 0.0039* 2.83333 0.4722 11 130.66667 Ordered Differences Report Level |- Level Difference Std Err Dif Lower CL Upper CL Method2 Method4 8.000000 0.5610836 6.057694 9.942306 Method1 Method4 Method2 Method3 5.666667 0.5610836 3.724360 7.608973 5.666667 0.5610836 3.724360 7.608973 Method1 Method3 Method3 Method4 3.333333 0.5610836 1.391027 5.275640 2.333333 0.5610836 0.391027 4.275640 Method2 Method1 2.333333 0.5610836 0.391027 4.275640 Which production method should the company select? O Method 3 O Method 2 O Method 1 O Method 4 O None of the Methods differ.
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 МЕТНOD 3 112.66667 37.5556 79.5294 <.0001* OPERATOR Error C. Total 2 15.16667 7.5833 16.0588 0.0039* 2.83333 0.4722 11 130.66667 Ordered Differences Report Level |- Level Difference Std Err Dif Lower CL Upper CL Method2 Method4 8.000000 0.5610836 6.057694 9.942306 Method1 Method4 Method2 Method3 5.666667 0.5610836 3.724360 7.608973 5.666667 0.5610836 3.724360 7.608973 Method1 Method3 Method3 Method4 3.333333 0.5610836 1.391027 5.275640 2.333333 0.5610836 0.391027 4.275640 Method2 Method1 2.333333 0.5610836 0.391027 4.275640 Which production method should the company select? O Method 3 O Method 2 O Method 1 O Method 4 O None of the Methods differ.
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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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
МЕТНOD
3 112.66667
37.5556 79.5294
<.0001*
OPERATOR
2
15.16667
7.5833 16.0588
0.0039*
Error
6
2.83333
0.4722
С. Total
11 130.66667
Ordered Differences Report
Level - Level Difference Std Err Dif Lower CL Upper CL
Method2 Method4
8.000000 0.5610836 6.057694 9.942306
Method1 Method4
5.666667 0.5610836 3.724360 7.608973
Method2 Method3
5.666667 0.5610836
3.724360 7.608973
Method1 Method3
3.333333 0.5610836
1.391027
5.275640
Method3 Method4
2.333333 0.5610836
0.391027 4.275640
Method2 Method1
2.333333 0.5610836
0.391027
4.275640
Which production method should the company select?
O Method 3
Method 2
Method 1
Method 4
None of the Methods differ.
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