The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. Very good Good Fair stain At a = 0.05, can you conclude that the mean costs per ounce are different? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn stain stain removal from a normal population, that the samples are independent of each other, and that the populations have the same variances. removal removal 0.41 0.75 0.46 0.51 2.78 1.23 0.49 0.60 0.34 1.49 0.46 0.36 0.98 0.37 1.35 (a) Identify the claim and state Ho and H. . Choose the correct answer below. O A Ho: P1 = P2= 13 - H4 "Ps "He OB. Ho: Hy = H2 - 3 (claim) H, : At least two means are different from the others. (claim) H : At least one mean is different from the others. O C. Ho: At least one mean is different from the others. (claim) D. Ho: 14 - H2 -H3 Ha: P1 = P2 = P3 = P4 = P5 = 16 H. : 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 2 , and the degrees of freedom for the denominator, d.f.p. is 12 The critical value is Fo = 3.89 (Round to two decimal places as needed.) The rejection region is F > 3.89 (Round to two decimal places as needed.) (c) Calculate the test statistic. F = (Round to three decimal places as needed.)