Independent random samples, each of size n = 395, selected from two populations produced the sample...
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Independent random samples, each of size n = 395, selected from two populations produced the sample means and standard deviations shown below: Sample 1 (from Population 1): 5,287, and sy = 149 Sample 2 (from Population 2): 2-5,252, and $2 = 203 At a=0.01, test the claim that the mean (₁) of population 1 is GREATER THAN the mean (2) of population 2. (Complete Parts (a), (b), and (c).) (a) The value of the test statistic ze (rounded to two decimal places) is (i) -1.81 (ii) 0.58 (iii) 1.43 (iv) 2.76 (b) The p-value (rounded to four decimal places) is (i) 0.9971 (ii) 0.0029 You should find one of the following useful for Part (b): P(=> 1.43) ≈ 0.0764 P(=< -1.81)=0.0351 P(=> 0.58) ≈ 0.2810 (iii) 0.0058 (c) The proper conclusion of the hypothesis test is (iv) 0.0702 P(=> 2.76) ≈ 0.0029 (i) Reject the null hypothesis. There is sufficient evidence that p > p2. (ii) Reject the null hypothesis. There is not sufficient evidence that > ₂. (iii) Fail to reject the null hypothesis. There is sufficient evidence that > 2. (iv) Fail to reject the null hypothesis. There is not sufficient evidence that p > p₂. Independent random samples, each of size n = 395, selected from two populations produced the sample means and standard deviations shown below: Sample 1 (from Population 1): 5,287, and sy = 149 Sample 2 (from Population 2): 2-5,252, and $2 = 203 At a=0.01, test the claim that the mean (₁) of population 1 is GREATER THAN the mean (2) of population 2. (Complete Parts (a), (b), and (c).) (a) The value of the test statistic ze (rounded to two decimal places) is (i) -1.81 (ii) 0.58 (iii) 1.43 (iv) 2.76 (b) The p-value (rounded to four decimal places) is (i) 0.9971 (ii) 0.0029 You should find one of the following useful for Part (b): P(=> 1.43) ≈ 0.0764 P(=< -1.81)=0.0351 P(=> 0.58) ≈ 0.2810 (iii) 0.0058 (c) The proper conclusion of the hypothesis test is (iv) 0.0702 P(=> 2.76) ≈ 0.0029 (i) Reject the null hypothesis. There is sufficient evidence that p > p2. (ii) Reject the null hypothesis. There is not sufficient evidence that > ₂. (iii) Fail to reject the null hypothesis. There is sufficient evidence that > 2. (iv) Fail to reject the null hypothesis. There is not sufficient evidence that p > p₂.
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Answer rating: 100% (QA)
a The test statistic is z x1 x2 s12n s22n 5287 5252 1492395 20323... View the full answer
Related Book For
Statistics For Business And Economics
ISBN: 9780321826237
12th Edition
Authors: James T. McClave, P. George Benson, Terry T Sincich
Posted Date:
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