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 stain removal, good stain 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 removal removal from a normal population, that the samples are independent of each other, and that the populations have the same 0.41 0.42 0.34 variances 0.35 279 1 19 0.49 0.75 0.60 1.43 0.33 0.47 0.98 0.37 1.39 (a) Identify the claim and state Ho and Ha- Choose the correct answer below Vi O A. HO H1= H2= 13 = HA =15=16 O B. Ho At least one mean is different from the others. (claim) H. At least two means are different from the others. (claim) Ha H1 = H2 - H3 O C. HO H1 = 12= H3 OD. Ho H1 = H2 = M3 (claim) Ha At least one mean is different from the others (claim) Ha At least one mean is different from the others (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 , and the degrees of freedom for the denominator, d.f D. is The critical value is Fo = (Round to two decimal places as needed ) The rejection region is F (Round to two decimal places as needed) (c) Calculate the test statistic. F =] (Round to three decimal places as needed )