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Week 101 Test on Pairs of Means – Case I Suppose are iid independent of that are iid. Further, suppose that n 1 and n 2 are large or that are known. We.

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Presentation on theme: "Week 101 Test on Pairs of Means – Case I Suppose are iid independent of that are iid. Further, suppose that n 1 and n 2 are large or that are known. We."— Presentation transcript:

1 week 101 Test on Pairs of Means – Case I Suppose are iid independent of that are iid. Further, suppose that n 1 and n 2 are large or that are known. We are interested in testing H 0 : μ x = μ y versus a one sided or a two sided alternative… Then,…

2 week 102 Test on Pairs of Means – Case II Suppose are iid independent of that are iid. Further, suppose that n 1 and n 2 are small and that are unknown but we assume they are equal to σ 2. We are interested in testing H 0 : μ x - μ y = δ versus a one sided or a two sided alternative… Then,…

3 week 103 Test on Two Proportions Suppose are iid Bernoulli(θ 1 ) independent of that are iid Bernoulli(θ 2 ). Further, suppose that n 1 and n 2 are large. We are interested in testing H 0 : θ 1 = θ 2 versus a one sided or a two sided alternative… Then,…

4 week 104 Example

5 week 105 Test for a Single Variance Suppose X 1, …, X n is a random sample from a N(μ, σ 2 ) distribution. We are interested in testing versus a one sided or a two sided alternative… Then…

6 week 106 Test on Pairs of Variances Suppose are iid independent of that are iid. We are interested in testing versus a one sided or a two sided alternative… Then…

7 week 107 Example

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