MKT 317 Lecture Notes - Confidence Interval, Statistical Hypothesis Testing, Null Hypothesis

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Example: paired samples: new printer is faster than old (new old x1 x2) d = 1. 13 = new faster than old (average of differences; . 1 2 >0 nd = 10, sd = 1. 68: h0: d 0 new equal to/slower than old. H1: d < 0 new faster than old: t-test, paired samples, left-tailed test, = 0. 05, df = 9, tcrit = 1. 833. 5) tcrit = 1. 833, tcalc = 2. 13 tcalc < tcrit reject h0; the new printer is faster. = 2. 0/12 = 0. 167 (given), sd = 1. 904, nd = 12 i. 1) h0: d = 0 appraisers are the same. Appraiser example d = 0. 167, s d = 1. 904, nd = 12, tcrit = 2. 201. 1. 38, 1. 04; the 95% ci is 1. 38 d < 1. 04. Since the interval contains 0, there is no significant difference in the averages for the two appraisers. This is consistent with the earlier hypothesis test which did not reject h0 = d = 0.

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