A manufacturing company designed a Factorial Experiment to determine whether the number of defective parts produced by two machines (the "Sample" row in the ANOVA table) differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system (the "Columns" row in the ANOVA table). Assuming that alpha is 0.05, and looking at the information in the "Sample" row in the ANOVA table, #1, would you Reject or Fail to Reject the Null hypothesis that the two Machines produce the same average number of defective parts? And, #2, EXPLAIN specifically what you used in the ANOVA table to arrive at your decision. ANOVA Source of Variation     SS      df      MS       F        P-value Sample             52.08333333  1  52.08333333  12.25490196  0.008070795 Columns          4.083333333  1  4.083333333  0.960784314  0.355697954 Interaction       18.75              1   18.75          4.411764706    0.068892487 Within              34                   8   4.25 Total                108.9166667   11

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
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A manufacturing company designed a Factorial Experiment to determine whether the number of defective parts produced by two machines (the "Sample" row in the ANOVA table) differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system (the "Columns" row in the ANOVA table). Assuming that alpha is 0.05, and looking at the information in the "Sample" row in the ANOVA table,

#1, would you Reject or Fail to Reject the Null hypothesis that the two Machines produce the same average number of defective parts? And,

#2, EXPLAIN specifically what you used in the ANOVA table to arrive at your decision.

ANOVA

Source of Variation     SS      df      MS       F        P-value

Sample             52.08333333  1  52.08333333  12.25490196  0.008070795

Columns          4.083333333  1  4.083333333  0.960784314  0.355697954

Interaction       18.75              1   18.75          4.411764706    0.068892487

Within              34                   8   4.25

Total                108.9166667   11

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ISBN:
9780547587776
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HOLT MCDOUGAL
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HOLT MCDOUGAL