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Unformatted text preview: H : = . 5 vs H 1 : > . 5, the pvalue is much smaller than 2 . 5%. So there is strong evidence that there is something wrong. Problem 3: Suppose we randomly sample 10 people from the population of adult males, and we measure their heights. Suppose the heights (in the unit of cm) are 182 166 187 196 173 188 192 164 165 185. Please nd the 95% condence interval for the average height of the population. Let us assume that the heights of the population follow a normal distribution. A: X = 10 i =1 X i = 179 . 8. s 2 = 10 i =1 ( X i X ) 2 / (101) = 140 . 84. t 9 , 2 . 5% = 2 . 262. So the 95% condence interval is [ Xt 9 , 2 . 5% s/ n, X + t 9 , 2 . 5% s/ n ] = [171 . 3 , 188 . 3]. 1...
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 Winter '11
 Wu

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