Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.IIIIII5.65.56.94.56.65.55.46.54.35.44.67.94.75.65.85.96.66.35.65.6  6.9 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)SSTOT= SSBET= SSW= Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.)dfBET= dfW= MSBET= MSW= Find the value of the sample F statistic. (Use 2 decimal places.)What are the degrees of freedom?Make a summary table for your ANOVA test.

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Asked Dec 16, 2019
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Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.

I II III
5.6 5.5 6.9
4.5 6.6 5.5
5.4 6.5 4.3
5.4 4.6 7.9
4.7 5.6 5.8
5.9 6.6 6.3
5.6 5.6  
  6.9  

Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? 

(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)

SSTOT =  
SSBET =  
SSW =  


Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.)

dfBET =  
dfW =  
MSBET =  
MSW =  


Find the value of the sample F statistic. (Use 2 decimal places.)

What are the degrees of freedom?

Make a summary table for your ANOVA test.

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Expert Answer

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Step 1

The null and the alternative hypotheses are;

Null hypothesis: All means of sepal length of different species of iris are equal.

Alternative hypothesis: At least one of the mean of sepal length of different species of iris is different.

Step 2

Excel is used to analyze the provided data. Steps are as follows:

  1. Enter the data into the spreadsheet.
  2. Go to Data>Data Analysis>Anova: Single factor>ok.
  3. Fill in the required columns and click ok.
  4. The obtained result is,
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Anova: Single Factor SUMMARY Groups Count Sum Average Variance 37.1 5.3 0.26 47.9 8. 5.9875 0.615536 36.7 6.116667 1.521667 ANOVA Source of Variation Between Groups Within Groups df P-value F crit SS MS 2.63244 2. 1.31622 1.757944 0.200733 3.554557 13.47708 18 0.748727 Total 16.10952 20

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Step 3

(b) The required values for...

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SSr =16.109 TOT SSr = 2.632 BET S, = 13.477 "s- 16.109 = 2.632+13.477 rr + SS SSr = SS, тот BET =16.109

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