Independent random samples, each of size n = 395, selected from two populations produced the sample eans and standard deviations shown below: ample 1: = 5,287, and s1 149 Sample 2: = 5, 252, and s2 = 203 order to compare the means of the two populations, test Ho : (41 - 2) = 0 against a: (12)#0, using a = 0.05. ) The value of the test statistic 2 (rounded to two decimal places) is ) -1.81 (ii) 0.58 (iii) 1.43 (iv) 2.76 ) The p-value (rounded to four decimal places) is ) 0.9971 (ii) 0.0029 (iii) 0.0058 (iv) 0.0702 ou should find one of the following useful for part b: (2 > 1.43) = 0.0764 P(z < -1.81) = 0.0351 P(z > 0.58) = 0.2810 P(z > 2.76) = 0.0029 ) The proper conclusion of the hypothesis test is

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2. Independent random samples, each of size n = 395, selected from two populations produced the sample
means and standard deviations shown below:
Sample 1: FT = 5, 287, and s1 = 149
Sample 2: = 5, 252, and s2 = 203
In order to compare the means of the two populations, test Ho : (41 - H2) = 0 against
Ha : (1 - 12) + 0, using a = 0.05.
(a) The value of the test statistic 24 (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) z 0.2810
P(z > 2.76) = 0.0029
(c) The proper conclusion of the hypothesis test is
(i) Fail to reject Họ. There is not sufficient evidence that the populations means are different.
(ii) Reject Ho. There is not sufficient evidence that the populations means are different.
(iii) Fail to reject Ho. There is sufficient evidence that the populations means are different.
(iv) Reject Ho. There is sufficient evidence that the populations means are different.
Transcribed Image Text:2. Independent random samples, each of size n = 395, selected from two populations produced the sample means and standard deviations shown below: Sample 1: FT = 5, 287, and s1 = 149 Sample 2: = 5, 252, and s2 = 203 In order to compare the means of the two populations, test Ho : (41 - H2) = 0 against Ha : (1 - 12) + 0, using a = 0.05. (a) The value of the test statistic 24 (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) z 0.2810 P(z > 2.76) = 0.0029 (c) The proper conclusion of the hypothesis test is (i) Fail to reject Họ. There is not sufficient evidence that the populations means are different. (ii) Reject Ho. There is not sufficient evidence that the populations means are different. (iii) Fail to reject Ho. There is sufficient evidence that the populations means are different. (iv) Reject Ho. There is sufficient evidence that the populations means are different.
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