The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "P" to 3 decimal places.) ANOVA Source of Variation s df MS F p-value Rows Columns Error FFactor B = FFactor A = 0.44 2 MSB = 0.612 45.05 4 MSA = 0.000 8 MSE = 14 3.37 Total 48.86 b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer? Yesbad media since the p-value for Factor A is less than significance level. O Yesbad media since the p-value for Factor A is greater than significance level. Nobad media since the p-value for Factor A is less than significance level. O Nobad media since the p-value for Factor A is greater than significance level.

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c. At the 1% significance level, can you conclude that the average growth of the plant differs by acidity level?
O Yesbad media since the p-value for Factor Bis less than significance level.
O Yesbad media since the p-value for Factor B is greater than significance level.
O Nobad media since the p-value for Factor Bis less than significance level.
O Nobad media since the p-value for Factor B is greater than significance level.
Transcribed Image Text:c. At the 1% significance level, can you conclude that the average growth of the plant differs by acidity level? O Yesbad media since the p-value for Factor Bis less than significance level. O Yesbad media since the p-value for Factor B is greater than significance level. O Nobad media since the p-value for Factor Bis less than significance level. O Nobad media since the p-value for Factor B is greater than significance level.
The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A
consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable
measured is the height (in inches) of a plant at the end of four weeks.
a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4
decimal places and "F" to 3 decimal places.)
ANOVA
Source of Variation
df
MS
p-value
Rows
0.44
2 MSB =
F Factor B =
0.612
Columns
45.05
4 MSA =
F Factor A =
0.000
Error
3.37
8 MSE =
Total
48.86
14
b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer?
O Yesbad media since the p-value for Factor A is less than significance level.
O Yesbad media since the p-value for Factor A is greater than significance level.
O Nobad media since the p-value for Factor A is less than significance level.
O Nobad media since the p-value for Factor A is greater than significance level.
Transcribed Image Text:The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation df MS p-value Rows 0.44 2 MSB = F Factor B = 0.612 Columns 45.05 4 MSA = F Factor A = 0.000 Error 3.37 8 MSE = Total 48.86 14 b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer? O Yesbad media since the p-value for Factor A is less than significance level. O Yesbad media since the p-value for Factor A is greater than significance level. O Nobad media since the p-value for Factor A is less than significance level. O Nobad media since the p-value for Factor A is greater than significance level.
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