Good The table to the right shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very goo

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Good The Table To The Right Shows The Cost Per Ounce In Dollars For A Random Sample Of Toothpastes Exhibiting Very Goo 1 (26.01 KiB) Viewed 18 times

Good 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. At a= 0.025, 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 from a normal population, that the samples are independent of each other, and that the populations have the same variances. Fair stain removal stain Very good stain removal 0.36 0.64 0.50 1.53 0.35 0.33 removal 0.98 2.69 0.46 0.75 0.33 1.34 0.44 1.25 0.46

(a) Identify the claim and state Ho and Ha. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) OB. Ho H1 H2 H3 Ha: 11 = H2 = H3 = H4 H5 = 46 Ha: At least one mean is different from the others. (claim) O C. Ho H1 = H2 = H3 (claim) OD. Ho H1 = H2 = H3 = H4 = 15 = 16 Ha: At least one mean is different from the others. Ha: At least two means are 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.d, is 12 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. FE (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. O A. Since F is not in the rejection region, reject Ho OB. Since F is in the rejection region, reject Ho O C. Since F is not in the rejection region, fail to reject Ho OD. Since F is in the rejection region, fail to reject Ho Choose the correct interpretation below. There V enough evidence at the 2.5% significance level to the claim that the mean cost per ounce is