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. Very good stain removal 0.50 0.51 0.48 1.57 0.36 0.64 Good stain removal 0.58 2.68 0.60 0.42 0.64 1.39 a) Identify the claim and state H0 and Ha. Choose the correct answer below. (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 The degrees of freedom for the denominator, d.f.D, is The critical value is FO (Round to two decimal places as needed.) Fair stain removal 0.60 1.23 0.34 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.) (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. There enough evidence at the 2.5% significance level to the claim that the mean cost per ounce is. I

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