The mean potassium content of a popular sports drink is listed as 131 mg in a...
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The mean potassium content of a popular sports drink is listed as 131 mg in a 32-oz bottle. Analysis of 34 bottles indicates a sample mean of 130.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. Hg: P = 131 mg vs. H,: µ+ 131 mg b. Hg: HS 131 mg vs. H: µ >131 mg c. Hg: H 2 131 mg vs. H: H <131 mg b (b) Assuming a known standard deviation of 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 2 percent level of significance (a = 02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ha if z> +2.326 or if z<-2.326 The sample does not contradict O 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 The mean potassium content of a popular sports drink is listed as 131 mg in a 32-oz bottle. Analysis of 34 bottles indicates a sample mean of 130.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. Hg: P = 131 mg vs. H,: µ+ 131 mg b. Hg: HS 131 mg vs. H: µ >131 mg c. Hg: H 2 131 mg vs. H: H <131 mg b (b) Assuming a known standard deviation of 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 2 percent level of significance (a = 02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ha if z> +2.326 or if z<-2.326 The sample does not contradict O 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
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Related Book For
Applied Statistics in Business and Economics
ISBN: 978-0073521480
4th edition
Authors: David Doane, Lori Seward
Posted Date:
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