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ses are beautifu fowers found threughout the United States, Canada, and northerm Europe. This problem concerns length of the sepal (leaf-ike part covering the fower) of dmerent species of wid irs. Data are besed on information taken from an artide by R.A Fisher in Annais of Eugenics (ve. 7. part 2, sp. 179-188). Measurements of sepal length in random samples of bs setesa (). Dris versicolor (I), and Iris virginica () are as follows below. ethere are no diferences among the population means of sepal length for the dferent species of irs Use a 10 level of significance. lof significance State emate hypotheses H A three means are diferent. M Exactly two means equal OM least two means are equal OM - : H: Not all the means are (D) Find SSgp SSen and SS, and check that SSor SSer+ SS (Use 3 decimal places.) Find dan d MSn and MS (Ue 4 decimal places for MS and MS Find the value of the samplestatistic. (Use 2 decimal places.) what are the degrees of (numerator) (denominator) () Find the Pvalue of the sample test statistic. (Use 4 decimal places.) O

ses are beautifu fowers found threughout the United States, Canada, and northerm Europe. This problem concerns length of the sepal (leaf-ike part covering the fower) of dmerent species of wid irs. Data are besed on information taken from an artide by R.A Fisher in Annais of Eugenics (ve. 7. part 2, sp. 179-188). Measurements of sepal length in random samples of bs setesa (). Dris versicolor (I), and Iris virginica () are as follows below. ethere are no diferences among the population means of sepal length for the dferent species of irs Use a 10 level of significance. lof significance State emate hypotheses H A three means are diferent. M Exactly two means equal OM least two means are equal OM - : H: Not all the means are (D) Find SSgp SSen and SS, and check that SSor SSer+ SS (Use 3 decimal places.) Find dan d MSn and MS (Ue 4 decimal places for MS and MS Find the value of the samplestatistic. (Use 2 decimal places.) what are the degrees of (numerator) (denominator) () Find the Pvalue of the sample test statistic. (Use 4 decimal places.) O

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 5.9 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 means are equal. O H.: H1 = H2 = H3; H;: Not all the means are equal. (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 = MS BET= 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.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the P value is greater than the level of significance at a = 0.1, we do not reject Ho: O Since the P value is less than or equal to the level of significance at a = 0.1, we reject Ho. O Since the P value is greater than the level of significance at a = 0.1, we reject Ho. O Since the P value is less than or equal to the level of significance at a = 0.1, we do not reject Ho: (e) Interpret your conclusion in the context of the application. O At the 10% level of significance there is insufficient evidence to conclude that the means are not all equal. O At the 10% level of significance there is sufficient evidence to conclude that the means are all equal. O At the 10% level of significance there is insufficient evidence to conclude that the means are all equal. O At the 10% level of significance there is sufficient evidence to conclude that the means are not all equal. (f) Make a summary table for ANOVA test. Degrees of Freedom Source of Sum of Test Decision MS P Value Variation Squares Ratio Between groups --Select--- Within groups Total
Transcribed Image Text: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 means are equal. O H.: H1 = H2 = H3; H;: Not all the means are equal. (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 = MS BET= 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.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the P value is greater than the level of significance at a = 0.1, we do not reject Ho: O Since the P value is less than or equal to the level of significance at a = 0.1, we reject Ho. O Since the P value is greater than the level of significance at a = 0.1, we reject Ho. O Since the P value is less than or equal to the level of significance at a = 0.1, we do not reject Ho: (e) Interpret your conclusion in the context of the application. O At the 10% level of significance there is insufficient evidence to conclude that the means are not all equal. O At the 10% level of significance there is sufficient evidence to conclude that the means are all equal. O At the 10% level of significance there is insufficient evidence to conclude that the means are all equal. O At the 10% level of significance there is sufficient evidence to conclude that the means are not all equal. (f) Make a summary table for ANOVA test. Degrees of Freedom Source of Sum of Test Decision MS P Value Variation Squares Ratio Between groups --Select--- Within groups Total
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Since you have posted a question with multiple subparts, we will solve first three subparts for you. To get remaining subparts solved, please repost the question and mention the subparts to be solved. 

ANOVA is a hypothesis test which used to test the mean significant difference between the more than two variables. Here the variance are assumed to be equal and the data follows normal distribution. It also helps to estimate the relationship between the categorical and a numerical variables. 

 

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