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Week 12 Mon Nov 15a

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

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

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