1. 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 s = 149 Sample 2 (from Population 2): = 5, 252, and s2 = 203 At a = 0.01, test the claim that the mean (1) of population 1 is GREATER THAN the mean (42) of population 2. (Complete Parts (a), (b), and (c).) (a) The value of the test statistic 2 (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 (iii) 0.0058 (iv) 0.0702 You should find one of the following useful for Part (b): P(z > 1.43) - 0.0764 P(z < -1.81) = 0.0351 P(z > 0.58) × 0.2810 P(2 > 2.76) = 0.0029

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1. 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 s1 = 149
%3D
Sample 2 (from Population 2): = 5, 252, and s2 =
203
At a = 0.01, test the claim that the mean (41) of population 1 is GREATER THAN the mean (42) of
population 2. (Complete Parts (a), (b), and (c).)
(a) The value of the test statistic z4 (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
(iii) 0.0058
(iv) 0.0702
You should find one of the following useful for Part (b):
P(2 > 1.43) = 0.0764
P(z < -1.81) = 0.0351
P(2 > 0.58) z 0.2810
P(z > 2.76) = 0.0029
(c) The proper conclusion of the hypothesis test is
(i) Reject the null hypothesis. There is sufficient evidence that 41 > 12.
(ii) Reject the null hypothesis. There is not sufficient evidence that 41 > 12.
(iii) Fail to reject the null hypothesis. There is sufficient evidence that 41 > 42.
(iv) Fail to reject the null hypothesis. There is not sufficient evidence that u1 > 42.
Transcribed Image Text:1. 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 s1 = 149 %3D Sample 2 (from Population 2): = 5, 252, and s2 = 203 At a = 0.01, test the claim that the mean (41) of population 1 is GREATER THAN the mean (42) of population 2. (Complete Parts (a), (b), and (c).) (a) The value of the test statistic z4 (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 (iii) 0.0058 (iv) 0.0702 You should find one of the following useful for Part (b): P(2 > 1.43) = 0.0764 P(z < -1.81) = 0.0351 P(2 > 0.58) z 0.2810 P(z > 2.76) = 0.0029 (c) The proper conclusion of the hypothesis test is (i) Reject the null hypothesis. There is sufficient evidence that 41 > 12. (ii) Reject the null hypothesis. There is not sufficient evidence that 41 > 12. (iii) Fail to reject the null hypothesis. There is sufficient evidence that 41 > 42. (iv) Fail to reject the null hypothesis. There is not sufficient evidence that u1 > 42.
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