In class exercise chapter 5 - 1 1.1 Inclass exercise What...

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1 Inclass exercise 1.1 What is wrong?(5.10) Explain what is wrong in each of the following scenarios. 1. In the binomial setting X is a proportion. 2. The variance for a binomial count is radicalBig p (1 - p ) n . 3. The normal approximation to the binomial distribution is always accurate when n is greater than 1000. 1.2 Treatment and control group(5.61) If we have a sample of n observations from a treatment group and an independent sample of m observations of a control group. Suppose that the response to the treatment has the N ( μ X , σ X ) distribution and that the response of control subjects has N ( μ Y , σ Y ) distribu- tion. Inference about the difference μ Y - μ X between the population means is based on the difference ¯ y - ¯ x between the sample means in the two groups. 1. Under the assumptions given, what is the distribution of ¯ y or ¯ x ? 2. What is the distribution of ¯ y - ¯ x ? 1
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1.3 SAT score(5.66) The total SAT scores of a high school seniors in a recent year had mean μ = 1026 and standard deviation σ = 209. The distribution of SAT scores is roughly Normal. 1. Julie scored 1110. If scores have Normal distribution, what percentile of the distribu-
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