The following output summarizes a portion of the results for a two-way ANOVA experiment with no interaction. Factor A (columns) consists of four different kinds of organic fertilizers, factor B (rows) 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. Assume that height is normally distributed. a. Find the missing values in the ANOVA table. (Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation df MS F p-value Rows 0.42 2 MSB = FFactor B = 0.907 Columns 55.77 3 MSA = FFactor A = 0.013 Error 12.82 6 MSE = Total 69.01 11 b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer? O No Picture since the p-value for Factor A is greater than significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The following output summarizes a portion of the results for a two-way ANOVA experiment with no interaction. Factor A (columns)
consists of four different kinds of organic fertilizers, factor B (rows) 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. Assume that height is normally distributed.
a. Find the missing values in the ANOVA table. (Round "MS" to 4 decimal places and "F' to 3 decimal places.)
ANOVA
Source of Variation
SS
df
MS
F
p-value
Rows
0.42
2 MSB =
FFactor B
0.907
%3D
Columns
55.77
3 MSA =
FFactor A
0.013
Error
12.82
6 MSE =
Total
69.01
11
b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer?
O NoPicture 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 ANOVA experiment with no interaction. Factor A (columns) consists of four different kinds of organic fertilizers, factor B (rows) 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. Assume that height is normally distributed. a. Find the missing values in the ANOVA table. (Round "MS" to 4 decimal places and "F' to 3 decimal places.) ANOVA Source of Variation SS df MS F p-value Rows 0.42 2 MSB = FFactor B 0.907 %3D Columns 55.77 3 MSA = FFactor A 0.013 Error 12.82 6 MSE = Total 69.01 11 b. At the 1% significance level, can you conclude that the average growth of the plant differs by organic fertilizer? O NoPicture since the p-value for Factor A is greater than significance level.
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