Question

Utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. At the 0.05 level of significance, test for any significant differences. State the null and alternative hypotheses. [ H0: μDesign A = μDesign B = μDesign C; Ha: μDesign A ≠ μDesign B ≠ μDesign C ] H0: At least two of the population means are equal. Ha: At least two of the population means are different. H0: Not all the population means are equal. [ Ha: μDesign A = μDesign B = μDesign C; H0: μDesign A = μDesign B = μDesign C; Ha: Not all the population means are equal.; H0: μDesign A ≠ μDesign B ≠ μDesign C; Ha: μDesign A = μDesign B = μDesign C ] Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = × State your conclusion. Reject H0. There is sufficient evidence to conclude that there is a difference in design. Do not reject H0. There is not sufficient evidence to conclude that there is a difference in design. Reject H0. There is not sufficient evidence to conclude that there is a difference in design. Do not reject H0. There is sufficient evidence to conclude that there is a difference in design.

          Utilities (higher is preferred) for each of three different designs for a new whitening toothpaste. At the 0.05 level of significance, test for any significant differences. State the null and alternative hypotheses.

[ H0: μDesign A = μDesign B = μDesign C; Ha: μDesign A ≠ μDesign B ≠ μDesign C ]

H0: At least two of the population means are equal. Ha: At least two of the population means are different. H0: Not all the population means are equal.

[ Ha: μDesign A = μDesign B = μDesign C; H0: μDesign A = μDesign B = μDesign C; Ha: Not all the population means are equal.; H0: μDesign A ≠ μDesign B ≠ μDesign C; Ha: μDesign A = μDesign B = μDesign C ]

Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.)

p-value =  ×

State your conclusion. Reject H0. There is sufficient evidence to conclude that there is a difference in design. Do not reject H0. There is not sufficient evidence to conclude that there is a difference in design. Reject H0. There is not sufficient evidence to conclude that there is a difference in design. Do not reject H0. There is sufficient evidence to conclude that there is a difference in design.

Added by Mike A.

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