Quiz 6 solutions - Quiz 6 solutions 1) 1. Null: a) Data can...

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Quiz 6 solutions 1) 1. Null: a) Data can be due to chance." b) Data is like drawing 225 times from a box with an average of 3.5 (or "average of school district is 3.5") 2. Alternative: a) Data cannot be explained by chance. b) The average is greater than 3.5. 3. Z: SEavg = sqrt(225)*.5/225 = .0333, z=(3.8-3.5)/.0333 = 9 4. P: P very close to 0% 5. Conclusion: a) data cannot be explained by chance, b) reject null c) students in the school district did better than the state average. 2.) 1. Null: Data can be explained by chance. The refrigerator has not been damaged. Data is like drawing 5 times from a box with an average of 0 (or 36) 2. Alternative: The data cannot be explained by chance. The average is greater than 0 (or 36) 3. T: Avg: (.5+.75+0+1+.15)/5 = .48 SD = sqrt ((1/5)(.5^2+.75^2+0^2+1^2+.15^2)-.48^2) = .369 SD+ = sqrt(5/4)*.369 = .4132 SE = sqrt(5)*.4132/5 = .184797 T = (.48-0)/.184797 = 2.597 4. P calculation: Degrees of freedom = 5-1 =4 P: 2.5% < p < 5% 5. Conclusion: doesn't look like chance, Reject null at 5% level, looks like
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Quiz 6 solutions - Quiz 6 solutions 1) 1. Null: a) Data can...

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