Answer Happy

A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 68 63 58 74 71 69 67 77 65 76 68 59 79 73 55 73 70 63 Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: All populations of times are identical. Ha: Not all populations of times are identical. O Ho: Not all populations of times are identical. Hai All populations of times are identical. O Ho: Median, = Mediana - Medianz Ha: Median , * Median2 + Medianz O Ho: Median, # Median2 + Medianz Hy: Median, = Medianz = Medianz O Ho: Median, = Median2 = Medianz Ha: Median > Median, > Medianz = =

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. O Do not reject H. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Do not reject H. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. a