1.43) = 0.0764P(z 0.58) z 0.2810P(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...

Extracted 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.