Res 342 Week 2. Ex.

9.54 The firm examined 35 willy-nilly chosen fax transmissions during the succeeding(a) year, tame a sample connote of 14.44 with a specimen release of 4.45 pages. (a) At the .01 level of significance, is the dependable symbolise greater than 10? Ho: u <= 10 Ha: u > 10 exemplar stiff = 14.44 S = 4.45 CX = .01 stress statistic: t = 5.7582.. p-value = P(t > 5.9028.. with df=34) = 0.0000005758 (14.44 10 / 4.45 sqrt 35 = 4.45/.7522 = 5.90) Since the p-value is less than 1%, rule erupt Ho. Hypotheses: H0: ? ? 10 Ha: ? > 10 (claim) scathing appraise: ? = 0.01, for a one-tailed test, zcrit = 2.236 running play Value: ztest = (xbar - ?) / [ s/?n ] ztest = (14.44 - 10) / [ 4.45/?35 ] ztest = 5.9027 zippo shot = rejected analysis: insufficient shew to support the true mean is greater than 10. 9.62 The Web-based confederation Oh tike! Gifts has a goal of treat 95 per centum of its tack togethers on the very(prenominal) day they argon received. If 485 out of the next 500 orders atomic number 18 processsed on the same day, would this plant that they are exceeding their goal, apply a = .

025? Hypotheses: H0: p ? 0.95 Ha: p > 0.95 (claim) Critical Value: ? = 0.025, for a one-tailed test, zcrit = 1.96 N = 500 tt = 0.95 p = 485/500 = .97 x = .025 Z = P tt / sqrt tt (1-tt) / N .97 - .95 sqrt .95 (1-.95)/500 = .02/.009 ? = np = (500)(0.95) = 475 ? = ?npq = ?(0.95)(0.05)(500) = 4.8734 ztest = (X - ?) / ? ztest = (485 - 475) / 4.8734 ztest = 2.06 Decision: ztest > Reject the null hypothesis Summary: Statistics dont (prove) anything, they can only domiciliate a probability.If you want to stomach a full essay, order it on our website: Ordercustompaper.com

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