hw1 - Assignment 1 Due 1 Given the five differences Di =...

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Unformatted text preview: Assignment 1 Due 9/23/03 1. Given the five differences Di = crossed - self, find the permutation distribution of the paired t-statistic Crossed 23 4 8 12 21 22 19 1 8 Self 17 3 8 3 20 8 20 5 18 8 3 18 8 Difference( 1 ) Di 8 49 -67 8 16 6 2. Prepare 5 cups with milk first and five with tea first. Tell the lady what you have done. If she truly cannot tell difference, find the probability distribution of X = the number of milk first identified. What number(s) would convince you that she could tell the difference? 3. Given the data with n1 = n2 = 3, find the randomization distribution of X-Y . t= 1 1 Spooled n1 + n2 X Y 2 5 4 3 7 9 4. Sampling distribution approach (a) Refer to problem 1. Perform a paired t test for equality against a two-sided alternative. That is, refer the observed value of the statistic to the .025 quantile of the appropriate t distribution. (3) refer to problem 3. Find a 95 % confidence interval for the difference of means 1 - 2 using the appropriate t distribution. 1 ...
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