STA2020F 2006 TEST 1 SOLUTIONS

# STA2020F 2006 TEST 1 SOLUTIONS - STA2020F 2006 CLASS TEST 1...

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STA2020F 2006 CLASS TEST 1 SOLUTIONS SECTION A: 1. F 2. F 3. T 4. T 5. F 6. T 7. F 8. T [1 x 8 = 8] SECTION B: Question 1: a. H 0 : the average electricity consumption is the same for all seven days of the week H 1 : at least 2 days of the week have average electricity consumptions which differ (2) b. Source of Variation SS df MS F F crit Between Groups 98.64 6 16.44 4.38 2.42 or 2.34 Within Groups 131.35 35 3.75 Total 229.99 41 (8) c. Test statistic: F = 4.38. Critical value: F 6, 30 = 2.42 and F 6, 40 = 2.34. Since F = 4.38 > 2.42, reject H 0 . Therefore at least two of the population means for the electricity consumption on different days of the week differ. (2) d. normal distribution of data and equal variance of responses in each treatment (2) e. H 0 : the data follows a normal distribution H 1 : the distribution of the data is non-normal (2) f. critical value = 0.137 or 0.14 (1) g. test statistic value of 0.112 not bigger than 0.137, therefore do not reject H 0 and conclude that there is not enough evidence to conclude that the data is not

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STA2020F 2006 TEST 1 SOLUTIONS - STA2020F 2006 CLASS TEST 1...

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