Return to question 15 In 2009 Noodles & Company Introduced spaghetti and meatballs to its menu

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Return to question 15 In 2009 Noodles & Company Introduced spaghetti and meatballs to its menu. Before putting it on the menu, It performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 42 tasters were asked to rate their satisfaction with two different sauces on a scale of 1-10, with 10 being the highest Assume equal population variances. The mean difference in ratings was d = 2 points -0.37223 with a standard deviation of so = 1.75260. Use a = 0.05. (a) Choose the appropriate hypotheses for a two-talled test. Assume . Is the average difference In the taste of the two sauces. Ho: Ha = 0 versus Hy: Hd #0 O Ho: Ma 2 0 versus Hy: Ha <0 O Ho: Ha S O versus Hy: Ha > 0 (b) Find the test statistic calc. (Round your answer to 3 decimal places. A negative value should be Indicated by a minus sign.) tcalc (c) Find the critical value terit for a= .05. (Round your answer to 3 decimal places.) terit + /- (d) Find the p-value. (Round your answer to 3 decimal places.) p-value

Return to question 14 The mean potassium content of a popular sports drink is listed as 139 mg In a 32-oz bottle. Analysis of 24 bottles Indicates a sample mean of 137.5 mg- 2 (a) State the hypotheses for a two-talled test of the claimed potassium content. points a. He: H = 139 mg vs. H : p # 139 mg b. He: $ 139 mg vs. H, : p > 139 mg C. He: M 2 139 mg vs. Hi: J <139 mg O ap Ob OC (b) Assuming a known standard deviation of 2.3 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be Indicated by a minus sign.) Test statistic (c) At the 1 percent level of significance (a = .01) does the sample contradict the manufacturer's claim? Decision Rule: Reject He |If z> +2.576 or if z <-2.576 The sample contradicts @ the manufacturer's claim. (d) Find the p-value. (Round Intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) p-value

Return to question 13 This table shows partial results for a one-factor ANOVA. ANOVA 2 Source of Variation S5 of MS F p-value F. 05 points Between groups 3207.5 3 1069. 17 Within groups 441730.0 36 12270.28 Total 444937 .5 39 (a) Calculate the Ftest statistic. (Round your answer to 4 decimal places.) Fcalc (b) Calculate the p-value using Excel's function =F.DIST.RT(F, DF1, DF2). (Round your answer to 4 decimal places.) p-value (c) Find the critical value F. as from Appendix For using Excel's function =F.INV.RT(.05, DF1, DF2). (Round your answer to 2 decimal places.) Critical value