Homework# 8-Chapter 13 × ezto mheducation.com/hm.tpx (Round all intermediate cal

Question

Homework# 8-Chapter 13 × ezto mheducation.com/hm.tpx (Round all intermediate calculations to at least 4 decimal places.) The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of four different kinds of organic ferbilizers, factor B consists of three diferent kinds of soil aidity 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 your answer to 2 decimal places.) MS Foit@5% Rows Columns Error 0.13 2 44.25 1.88 6 MSB 3MSA 0.8182 5.143 0.0001 4.757 Total 46.26 11 b. At the 5% significance level, can you conclude that average growth of the plant differs by organic fertilizer? O Yes, since the p-value for Factor A is less than a O Yes, since the p-value for Factor A is greater than a. O No, since the p-value for Factor A is less than a O No, since the pvalue for Factor A is greater than a c. At the 5% significance level, can you conclude that the average growth of the plant differs by acidity level? O Yes, since the p-value for Factor B is less than a O Yes, since the p value for Factor B is greater than a. O No, since the p-value for Factor B is less than a O No, since the p-value for Factor B is greater than e

Explanation / Answer

a) here as MS =SS/df and factor F =MS for that group/MS error

from above below is ANOVA table:

b)

Yes since p value for factor A is less then alpha.

c)

No since pvalue for factor B is greater then alpha

SS df MS F p value F crit rows 0.13 2 0.07 0.21 0.8182 5.143 columns 44.25 3 14.75 47.07 0.0001 4.757 error 1.88 6 0.31 total 46.26 11

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