Question

Consider the accompanying data on plant growth after the application of different types of growth hormone. 1: 13 17 8 15 2: 21 12 20 17 3: 19 14 20 17 4: 8 11 18 9 5: 6 12 14 7 (a) Perform an F test at level α = 0.05. State the appropriate hypotheses. H0: μ1 = μ2 = μ3 = μ4 = μ5 Ha: all five μi's are unequal H0: μ1 = μ2 = μ3 = μ4 = μ5 Ha: at least two μi's are unequal H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 Ha: at least two μi's are equal H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4 ≠ μ5 Ha: all five μi's are equal Calculate the test statistic. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0. There appears to be a difference in the average growth of at least two groups. Fail to reject H0. There does not appear to be a difference in the average growth. Reject H0. There does not appear to be a difference in the average growth. Fail to reject H0. There appears to be a difference in the average growth of at least two groups. (b) What happens when Tukey's procedure is applied? (Round your answer to two decimal places.) w =

Answer 1