10.116 The following table shows a partially completed ANOVA table for a two-factor factorial experiment. Source A B AXB Error Total df 53 ما نیا SS 3.6 10.2 19.7 MS 4.1 F 47 a. Complete the ANOVA table. b. How many levels were used for each factor? How many treatments were used? How many replications were performed? c. Find the value of the sum of squares for treatments. Test to determine whether the data provide evidence that the treatment means differ. Use a = .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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10.116 The following table shows a partially completed ANOVA
table for a two-factor factorial experiment.
Source
A
B
AXB
Error
Total
df
5
3
SS
3.6
10.2
19.7
MS
4.1
F
47
a. Complete the ANOVA table.
b. How many levels were used for each factor? How
many treatments were used? How many replications
were performed?
c. Find the value of the sum of squares for treatments. Test
to determine whether the data provide evidence that
the treatment means differ. Use a = .05.
d. Is further testing of the nature of factor effects war-
ranted? If so, test to determine whether the factors
interact. Use α = .05. Interpret the result.
Transcribed Image Text:10.116 The following table shows a partially completed ANOVA table for a two-factor factorial experiment. Source A B AXB Error Total df 5 3 SS 3.6 10.2 19.7 MS 4.1 F 47 a. Complete the ANOVA table. b. How many levels were used for each factor? How many treatments were used? How many replications were performed? c. Find the value of the sum of squares for treatments. Test to determine whether the data provide evidence that the treatment means differ. Use a = .05. d. Is further testing of the nature of factor effects war- ranted? If so, test to determine whether the factors interact. Use α = .05. Interpret the result.
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