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 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 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. (a) What is the level of significance? State the null and alternate hypotheses. O H: H, = H2 = H3i H,: At least two means are equal. O H: H = H, = H3i H,: Exactly two means are equal. O H,: H, = H, = Hzi H,: Not all the means are equal. O H: H, = H2 = Hai H,: All three means are different. (b) Find SSTop SS BET, and SSw and check that SS707 = SS BET + SSw (Use 3 decimal places.) SSTOT= SS BET= SSw= BET d.f. w MS BET and MSw (Use 4 decimal places for MS BET and MSwr) df BET dfw = MS BET Find d.f MSw=
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 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 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. (a) What is the level of significance? State the null and alternate hypotheses. O H: H, = H2 = H3i H,: At least two means are equal. O H: H = H, = H3i H,: Exactly two means are equal. O H,: H, = H, = Hzi H,: Not all the means are equal. O H: H, = H2 = Hai H,: All three means are different. (b) Find SSTop SS BET, and SSw and check that SS707 = SS BET + SSw (Use 3 decimal places.) SSTOT= SS BET= SSw= BET d.f. w MS BET and MSw (Use 4 decimal places for MS BET and MSwr) df BET dfw = MS BET Find d.f MSw=
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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