a bottle cap manufacturer with four machines and six operators wants to see if variation in...
a bottle cap manufacturer with four machines and six operators wants to see if variation in production is due to the machines and/or the operators. each operator is assigned to each machine with the following analysis of variance table.
ll Source sum of squares ll df ll mean square
Machines 114
Operators 215
Error 54
Total 383
1. What are the degrees of freedom for the machines?
2. What are the degrees of freedom for the operators?
3. What are the degrees of freedom for the errors?
4. What is the critical value of F for the machines treatment
effect at the 1% level of significance?
5. What is the critical value of F for the operator block effect at
the 1% level of significance?
6. What is the mean square for machines?
7. What is the mean square for operators?
8. What is the mean square for errors?
9. What is the computed value of F for the machines?
10. What is the computed value of F for the operators?
11. Test the hypothesis that all operators are equally productive. State your decision in terms of the null hypothesis.
Homework Answers
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a bottle cap manufacturer with four machines and six operators
wants to see if variation in...
11.37 The quality control director for a clothing manufac- turer wants to study the effect of ope...
11.37 The quality control director for a clothing manufac- turer wants to study the effect of operators and machines on the breaking strength (in pounds) of wool serge material A batch of the material is cut into square-yard pieces, and these pieces are randomly assigned, 3 each. to each of the 12 combinations of 4 operators and 3 machines chosen spe- cifically for the experiment. The results. stored in Breakstw are as follows: Machine Operator 109 110 107 110 1...
8. An experiment was conducted to investigate possible differences among four hardness testing machines. Five different...
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Use the Minitab display to test
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SourceOperatorMachineErrorTotalDF441624SS59.3893.0147.81200.2MS20.1646.428.19F2.465.67P0.0870.005
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Use the Minitab display to test the claims using the significance level of a=0.05. The sample...
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Use the Minitab display to test
the claims using the significance level of α=0.05. The sample data
are the numbers of support beams manufactured by 5 different
operators using 5 different machines. Assume that there is no
interaction effect from operator and machine. Analysis of Variance
for Beams
SourceOperatorMachineErrorTotalDF441624SS59.3893.0147.81200.2MS20.1646.428.19F2.465.67P0.0870.005
Test the claim that the four operators have the same mean
production output. The F−test statistic is The P-value is Is there
sufficient evidence to warrant the rejection of the claim...
Use the Minitab display to test the claims using the
significance level of a=0.05. The sample data are the numbers of
support beams manufactured by 4 different operators using 5
different machines. Assume that there is no interaction effect from
operator and machine.
Analysis of Variance for Beams Source DF SS MS F P Operator 3 59.58 20.16 2.5 0.109 Machine 4 93.49 46.22 5.74 0.011 Error 12 47.89 Total 19 200.96 8.05 1. Test the claim that the 4...
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