production line for electronic circuit boards produced the following re Lighting (B) Assembly Method (A) 1 Fluorescent Inc andescent Means 49,32 37, 30 42, 45 45, 32 42 2 36 Means 37 41 39 Grand Mean

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Chapter1: Starting With Matlab
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A study to examine the effect of lighting type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results:

*Table: Worker Productivity by Lighting and Assembly Method*

| Assembly Method (A) | Lighting (B)          |                  |                  | Means | 
|--------------------|-----------------------|------------------|------------------|-------|
|                    | Fluorescent           | Incandescent     |                  |       |
| 1                  | 49, 32                | 42, 45           |                  | 42    |
| 2                  | 37, 30                | 45, 32           |                  | 36    |
| Means              | 37                    | 41               |                  | 39 Grand Mean |

**Questions:**

a. What are the total degrees of freedom for this experiment?

b. What is the computed value for Factor A (assembly method) sum of squares (SSA)?

c. What is the computed value for Factor B (lighting) sum of squares (SSB)?

d. What is the computed value for the error sum of squares (SSE)?

e. What is the computed value for the total sum of squares (SST)?

f. What is the computed value for the sum of squares for the interaction between Factor A and Factor B (SSAB)?
Transcribed Image Text:A study to examine the effect of lighting type and assembly method on the productivity of workers on a production line for electronic circuit boards produced the following results: *Table: Worker Productivity by Lighting and Assembly Method* | Assembly Method (A) | Lighting (B) | | | Means | |--------------------|-----------------------|------------------|------------------|-------| | | Fluorescent | Incandescent | | | | 1 | 49, 32 | 42, 45 | | 42 | | 2 | 37, 30 | 45, 32 | | 36 | | Means | 37 | 41 | | 39 Grand Mean | **Questions:** a. What are the total degrees of freedom for this experiment? b. What is the computed value for Factor A (assembly method) sum of squares (SSA)? c. What is the computed value for Factor B (lighting) sum of squares (SSB)? d. What is the computed value for the error sum of squares (SSE)? e. What is the computed value for the total sum of squares (SST)? f. What is the computed value for the sum of squares for the interaction between Factor A and Factor B (SSAB)?
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