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The manager of a company wants to determine whether there is a significant difference in the time required to complete a task with the three

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The manager of a company wants to determine whether there is a significant difference in the time required to complete a task with the three different techniques that are in common use. The times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Use a At 99% confidence, test to see whether there is a significant difference in the time required by the three methods Method 1 Park Method 2 Rank Method 3 Rank 1. Formulate the null and alternative hypotheses (1 MARK 2. Select the significance level (1 MARK) Select the test statistic and calculate its value (5 MARKS) 4. Identify the Chi square-critical value and state the decision rule (2 MARK) 6. Compare calculated and critical values and reach a conclusion about the null hypothesis (3 MARKS) 6. Make a related business decision (2 MARKS) Method 68 74 Rank 83 13 Method 2 62 73 Rank US 14 Method 3 Rank $8 67 69 65 76 77 72 6 17 18 125 75 68 72 70 16 8.3 125 11 10 1 3 $9 62

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