Statistics for Business & Economics
16th Edition
ISBN: 9781337325448
Author: Anderson
Publisher: CENGAGE C
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Textbook Question
Chapter 13.5, Problem 28E
A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.
Factor B | ||||
Level 1 | Level 2 | Level 3 | ||
Level 1 | 135 | 90 | 75 | |
Factor A | 165 | 66 | 93 | |
Level 2 | 125 | 127 | 120 | |
95 | 105 | 136 |
Test for any significant main effects and any interaction. Use α = .05.
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A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
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French
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System 1
7
14
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11
18
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System 2
6
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19
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17
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Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use x=.05
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Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
P-value
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Factor B
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Total
The p-value for Factor A is -…
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.
Language
Spanish
French
German
System 1
8
14
12
12
18
16
System 2
9
14
17
13
16
23
Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a=0.05 .
Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places.
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
P-value
Factor A
Factor B
Interaction
Error
Total
The p-value for Factor A is
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Chapter 13 Solutions
Statistics for Business & Economics
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