Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 10.6, Problem 191E
Glaucoma and Corneal Thickness. Glaucoma is a leading cause of blindness in the United Steles. N. Ehlers treasured the corneal thickness of eight patients who had glaucoma in one eye but not in the other. The results of the study were published in the paper “On Corneal Thickness and Intraocular Pressure. II” (Acta Opthalmologica, Vol. 48, pp. 1107—1112). The following are the data on corneal thickness, in microns.
Patient | Normal | Glaucoma |
1 | 484 | 488 |
2 | 478 | 478 |
3 | 492 | 480 |
4 | 444 | 426 |
5 | 436 | 440 |
6 | 464 | 458 |
7 | 464 | 458 |
8 | 476 | 460 |
At the 10% significance level, do the data provide sufficient evidence to conclude that
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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
5.7
5.1
6.5
4.7
6.2
5.1
4.7
6.6
4.7
5.8
4.9
7.5
4.6
5.2
5.3
5.3
6.2
6.2
5.4
5.8
6.4
(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)
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
5.9
5.8
6.9
4.8
6.5
5.6
4.6
6.4
4.9
5.7
4.3
7.7
4.8
5.8
5.6
5.4
6.3
6.3
5.8
5.5
6.6
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 5% 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…
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
5.9
5.5
6.7
4.1
6.8
5.8
5.2
6.5
4.5
5.4
4.5
7.2
4.1
5.4
5.2
5.2
6.2
6.9
5.6
5.2
6.7
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?
0.01
State the null and alternate hypotheses.
O H,: H1 = H, = Hzi H;: All three means are different.
O H,: H1 = H2 = Hzi H;: Exactly two means are equal.
O H,: H, = H2 = Hai H,: At least two…
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