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 5.5 5.2 6.7 4.4 6.5 5.7 5.2 6.9 4.1 5.9 4.4 7.8 4.3 5.5 5.7 5.3 6.4 6.1 5.8 5.5 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? Use a 10% level of significance. (a) What is the level of significance? (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? ?(numerator) ?(denominator) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ? ? ? ? ? Do not reject H0. Within groups ? ? ? Total
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 5.5 5.2 6.7 4.4 6.5 5.7 5.2 6.9 4.1 5.9 4.4 7.8 4.3 5.5 5.7 5.3 6.4 6.1 5.8 5.5 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? Use a 10% level of significance. (a) What is the level of significance? (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? ?(numerator) ?(denominator) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ? ? ? ? ? Do not reject H0. Within groups ? ? ? Total
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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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 |
5.5 | 5.2 | 6.7 |
4.4 | 6.5 | 5.7 |
5.2 | 6.9 | 4.1 |
5.9 | 4.4 | 7.8 |
4.3 | 5.5 | 5.7 |
5.3 | 6.4 | 6.1 |
5.8 | 5.5 | |
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? Use a 10% level of significance.
(a) What is the level of significance?
(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)
Find d.f.BET, d.f.W, MSBET, and MSW. (Use 4 decimal places for MSBET, and MSW.)
Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
?(numerator)
?(denominator)
(c) Find the P-value of the sample test statistic. (Use 4 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?
?(numerator)
?(denominator)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
(f) Make a summary table for your ANOVA test.
Source of Variation |
Sum of Squares |
Degrees of Freedom |
MS | F Ratio |
P Value | Test Decision |
Between groups | ? | ? | ? | ? | ? | Do not reject H0. |
Within groups | ? | ? | ? | |||
Total | ? | ? |
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