This test: 30 point(s) possible est: Final Exam Question 30 of 30 This question: 1 point(s) possible The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good Very good Good Fair stain D. stain removal, good shin removal, and fair stain removal. At a = 0.01, can you conclude that the mean costs per ounce stain stain removal are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from removal removal a normal population, that the samples are independent of each other, and that the populations have the same 0.47 0.33 0.60 variances. 0.64 2.68 1.31 0.41 0.98 0.46 1.61 0.75 0.36 0.60 0.49 1.39 (a) Identify the claim and state H0 and H3. Choose the correct answer below. 0 A- H0411 =P2 =l13 (claim) 0 3- H0411 =P2 =l13 = H4 =P5 =F6 Ha: At least one mean is different from the others. He: At least two means are different from the others. (claim) 0 O. HO: At least one mean is different from the others. (claim) 0 D. H0: [.11 = p2 = (13 Ha: p1 = p2 = p3 Ha: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is El, and the degrees of freedom for the denominator, d.f.D, is CI. The critical value is F0 = Cl. (Round to two decimal places as needed.) The rejection region is F|::l :|. (Round to two decimal places as needed.) (0) Calculate the test statistic. F=D (Round to three decimal places as needed.) (d) Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Choose the correct decision below. 0 A. Since F is in the rejection region, fail to reject HO. O B. Since F is not in the rejection region, reject HO. O G. Since F is not in the rejection region, fail to reject HO. O D. Since F is in the rejection region, reject H0- Choose the correct interpretation below. There enough evidence at the 1% significance level to the claim that the mean cost per ounce is