recitation12 - Review and Examples Hypothesis Tests for 1 2...

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Review and Examples Hypothesis Tests for μ 1 - μ 2 consist of four steps: 1. State the hypotheses. The hypotheses should take one of these forms: H 0 : μ 1 - μ 2 D 0 H a : μ 1 - μ 2 < D 0 H 0 : μ 1 - μ 2 D 0 H a : μ 1 - μ 2 > D 0 H 0 : μ 1 - μ 2 = D 0 H a : μ 1 - μ 2 6 = D 0 2. State the level of significance. This is denoted with α . 3. Compute the test statistic. We use the test statistic z when we know the value of σ 1 and σ 2 and the test statistic t when we do not know the value of σ 1 and σ 2 . z = x 1 - ¯ x 2 ) - D 0 r σ 2 1 n 1 + σ 2 2 n 2 t = x 1 - ¯ x 2 ) - D 0 r s 2 1 n 1 + s 2 2 n 2 4. Form a conclusion. You can form a conclusion using two approaches: (a) The p -value approach. Use the z or t table to compute the p -value. If the p -value is less than α , reject H 0 . (b) The critical value approach. Look up the critical value on the z or t table. If the test statistic is larger (either positively or negatively) than the critical value, reject H 0 . Example (Using Excel to do Hypothesis Tests)
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This note was uploaded on 01/24/2011 for the course STATISTICS 19897 taught by Professor Jager,abigaill during the Fall '10 term at Kansas State University.

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recitation12 - Review and Examples Hypothesis Tests for 1 2...

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