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 79.5294 16.0588 3 112.66667 37.5556 <.0001* OPERATOR 2 15.16667 7.5833 0.0039* Error 6 2.83333 0.4722 C. Total 11 130.66667 Select the correct alternate hypothesis.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
МЕТНOD
3 112.66667
15.16667
37.5556 79.5294 <.0001*
OPERATOR
2
7.5833 16.0588 0.0039*
Error
6.
2.83333
0.4722
C. Total
11
130.66667
Select the correct alternate hypothesis.
At least two treatment means are equal.
O At least two treatment means differ.
All treatment means differ.
All treatment means equal zero.
All treatment means are equal.
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 15.16667 37.5556 79.5294 <.0001* OPERATOR 2 7.5833 16.0588 0.0039* Error 6. 2.83333 0.4722 C. Total 11 130.66667 Select the correct alternate hypothesis. At least two treatment means are equal. O At least two treatment means differ. All treatment means differ. All treatment means equal zero. All treatment means are equal.
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