Week 12 Mon Nov 15a - Posted after class WEEK 12 Mon, Nov...

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Posted after class WEEK 12 – Mon, Nov 15 HYPOTHESIS TESTING – The p-value Approach (Background material is in Chapter 7) Tests for Mean µ; the p-value Approach Population Standard Deviation σ Known - a z-test. The test statistic is which when standardized relative to the null distribution is where or The textbook ignores the size of the population and on p. 272 shows the test statistic as without displaying the subscript on µ. Steps for an α-level, right-tail z-test of H 0 : µ ≤ µ 0 v. H 1 : µ > µ 0 . a. Gather the data, determine . Calculate z obs . b. Compute P(Z ≥ z obs ). If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . Steps for an α-level, left-tail z-test of H 0 : µ ≥ µ 0 v. H 1 : µ < µ 0 . a. Gather the data, determine . Calculate z obs . b. Compute P(Z ≤ z obs ). If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . Steps for an α-level, two-tail z-test of H 0 : µ = µ 0 v. H 1 : µ ≠ µ 0 . a. Gather the data, determine . Calculate z obs . b. Compute the tail probability associated with z obs and double it . If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . 1
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Population Standard Deviation σ Unknown - a t-test. The test statistic is where or with n – 1 df. The textbook ignores the size of the population and on p. 272 shows the test statistic as without displaying the subscript on µ. Steps for an α-level, right-tail t-test of H 0 : µ ≤ µ 0 v. H 1 : µ > µ 0 . a. Gather the data, determine . Calculate t obs . b. Compute P(t ≥ t obs ). If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . Steps for an α-level, left-tail t-test of H 0 : µ ≥ µ 0 v. H 1 : µ < µ 0 . a. Gather the data, determine . Calculate t obs . b. Compute P(t ≤ t obs ). If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . Steps for an α-level, two-tail t-test of H 0 : µ = µ 0 v. H 1 : µ ≠ µ 0 . a. Gather the data, determine . Calculate t obs . b. Compute the tail probability associated with t obs and double it . If less than α, Reject H 0 in favor of H 1 . Otherwise, Retain H 1 . Calculating the p-value of t
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This note was uploaded on 12/11/2010 for the course STT 315 taught by Professor Anderson during the Spring '08 term at Michigan State University.

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Week 12 Mon Nov 15a - Posted after class WEEK 12 Mon, Nov...

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