9.54 Faced with rising telefax costs, a solid issued a guideline that transmissions of 10 pages or more should be send by 2-day mail instead. Exceptions atomic number 18 allowed, further they indispensability the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, docile a sample besotted of 14.44 with a precedent leaving of 4.45 pages. (a) At the .01 level of significance, is the true mean great than 10? (b) Use Excel to find the right-tail p-value. (a) H0: mu = 10 H1: mu > 10 one-tail t-test with a = 0.01; vital value for 34 df = 2.326 Test statistic: T = (14.44-10)/[4.45/sqrt(35)] = 5.9028 Since T > 2.326 weject H0 and decide that there is statistical evidence that the true mean is > 10 (b) p-value = 0.00000057579 9.56 A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? draw your decision ordinance and calculations . (b) Calculate a p-value and interpret it. (a) phat = 38/60 = 0.6333 H0: p = 0.5 H1: p > 0.5 a = 0.10 Test statistic Z = (phat - p)/sqrt[p(1-p)/n] = (0.6333 - 0.5)/sqrt[0.5(1-0.5)/60] = 2.065 Decision normal: Reject H0 if Z > 1.2816 Since 2.065 > 1.2816 we extinguish H0 and close down down that the coin is biased. (b) p-value = 0.
019434 Since the p-value < 0.10 we reject the null hypothesis and end that the coin is biased. 9.62 The Web-based company Oh flub! Gifts has a goal of bear upon 95 percent of its orders on the same day they ar received. If 485 out of the next vitamin D orders are processed on the same day, would! this prove that they are olympian their goal, using ? = .025? (See story.news.yahoo.com) entree H0: p = 0.95 H1: p > 0.95 Decision command: Reject H0 if z > 1.96. Test statistic Z = (phat-p)/sqrt[p*(1-p)/n] = (485/500-0.95)/sqrt(0.95*(1-0.95)/500) = 2.0519 Since 2.01519 > 1.96 we reject H0 and conclude that they are exceeding their goal. 9.64 An auditor reviewed 25 oral surgical procedure insurance...If you want to get a full essay, order it on our website: BestEssayCheap.com
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