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Statistics Homework Solutions 176

Statistics Homework Solutions 176 - 176 CHAPTER 7 0 0261477...

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176 CHAPTER 7 (d) y 0 79464, s y s 1 n x x 2 n i 1 x i x 2 0 0261477. There are 46 2 44 degrees of freedom. t 44 025 2 015. Therefore a 95% confidence interval is 0 79464 2 015 0 0261477 , or (0.742, 0.847). (e) y 0 79464, s pred s 1 1 n x x 2 n i 1 x i x 2 0 0593616. t 44 025 2 015. A 95% prediction interval is 0 79464 2 015 0 0593616 or (0.675, 0.914). 11. The width of a confidence interval is proportional to s y s 1 n x x 2 n i 1 x i x 2 . Since s , n , x , and n i 1 x i x 2 are the same for each confidence interval, the width of the confidence interval is an increasing function of the difference x x . x 1 51966. The value 1.5 is closest to x and the value 1 8 is the farthest from x . Therefore the confidence interval at 1.5 would be the shortest, and the confidence interval at 1.8 would be the longest.
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