please choose final answer for each question (1-5) from the drop down selection - please type out final answer for each question. Please make sure to round all numbers in your answers to TWO decimal places.

1.

Assume that the population distributions of ages (in years) of students at two different universities in Michigan are normal with equal variances. Two random samples, drawn independently from the populations, showed the following statistics. n1 = 10, x1 = 25, $2 = 4 n2 = 9, X2 = 24, $2 = 9 Test that the difference in average ages of students at both universities is significant at the a = .01 level. Also, construct 95% confidence interval for the difference in average ages of students at both universities. a. The hypothesis test ---- Step 1: Ho : M1 - /2 [ Select ] O vs. H1 : /1 - M2 [ Select ] Step 2: $2= [ Select ] and the test statistic is t = [ Select ] Step 3: the critical t = [ Select ] Step 4: (can/cannot) We [ Select ] reject the null hypothesis. Step 5: (does/does not) Therefore, the sample evidence [ Select ] support that the two universities' students, on average, have significantly different ages. b. 95% confidence interval is ( [ Select ] [ Select ] V ). We [ Select ] v reject since the confidence interval includes the hypothesized value in it.Assume that the population distributions of ages (in years) of students at two different universities in Michigan are normal with equal variances. Two random samples, drawn independently from the populations, showed the following statistics. n1 = 10, x1 = 25, $2 = 4 n2 = 9, X2 = 24, $2 = 9 Test that the difference in average ages of students at both universities is significant at the a = .01 level. Also, construct 95% confidence interval for the difference in average ages of students at both universities. a. The hypothesis te: v [ Select ] does Step 1: Ho : M1 - M O vs. H1 : /1 - M2 [ Select ] does not can Step 2: $2 = [ Select cannot est statistic is t [ Select ] = =/ (not equal to) Step 3: the critical t =(greater than or equal to) Step 4: (can/cannot) 6.3529 reject the null hypothesis. 0.8635 Step 5: (does/does no 2.5205 Select ] support that the two 1.1581 universities' students +/- 2.898 nt ages. +/- 2.878 b. 95% confidence in [ Select ] V ). We +/-1.740 +/-1.734 [ Select ] -1.4434 idence interval includes the hypothesized value in it. 3.4434The registrar at a small university noted that the pre-enrollment figures and the actual enrollment figures for the past 6 years (in hundreds of students) were as shown here: x(pre-enrollment) 30 35 42 48 50 51 y(actual enrollment) 33 41 46 52 59 55 a. Plot the data. Does it appear that a linear relationship exists between x and y? (answer yeso) [ Select ] b. Find the correlation between ax and y. r = [ Select ] Test to see if there is a significant positive correlation between a and y. Use a = .05. Step 1: Ho : p 0 Step 2: test statistics t= [ Select ] Step 3: critical t value= [ Select ] Step 4: (can/cannot) We [ Select ] reject the null hypothesis Step 5: (is/ isn't) We conclude that there [ Select ] a significant positive correlation between x and y.The registrar at a small university noted that the pre-enrollment figures and the actual enrollment figures for the past 6 years (in hundreds of students) were as shown here: x(pre-enrollment) 30 35 42 48 50 51 y(actual enrollment) 33 41 46 52 59 55 a. Plot the data. Does it appear that a linear relationship exists between a and y? (answer yeso) V [ Select ] Yes No can cannot dy. r = [ Select ] is isn't 0.9772 sitive correlation between x and y. Use a = .05. -0.9772 12.9433 -12.9433 9.205 -9.205 2.776 2.015 2.132 reject the null hypothesis 2.571 Step 5: (Is/ isn't) We conclude that there [ Select ] a significant positive correlation between x and y.You are given these data: X: 12345 6 Y: 755320 a. Calculate the sample coefficient of correlation r and interpret. r [ Select ] ; there is a strong [ Select ] correlation between X and Y. b. Perform an appropriate hypothesis test for the correlation coefficient. Step 1: Ho : P [ Select ] Ovs. H1 : p [ Select ] Step 2: a = .01; test statistics t = [ Select ] Step 3: critical t= [ Select ] Step 4: We [ Select ] reject Ho. Step 5: Conclude that there [ Select ] a significant correlation between X and Y.You are given these data: X: 12345 6 Y: 755320 a. Calculate the sample coefficient of correlation r and interpret. r = [ Select ] ; there is a strong [ Select ] correlation between is X isn't can cannot b. st for the correlation coefficient. =/ (not equal to) Ste =(greater than or equal to) -0.9822 Ste 0.9822 negative Ste positive reject Ho. +/- 4.0321 +/- 4.6041 Ste a significant correlation between X and Y. +/- 8.6103 -10.4579A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed: Women Men Sample Size 90 100 Sample Mean 8.4 years 8.5 years Sample Standard Deviation 0.6 years 0.5 years Perform the appropriate test of hypothesis to determine whether there is a significant difference in time to completion of medical school between women and men. Test using a = .05. Step 1: Ho : M1 - M2 = 0 vs. H1 : /1 - M2 / 0 Step 2: Test Statistic z = [ Select ] Step 3: Reject the null hypothesis if z > Step 4: We [ Select ] conclude that there is a significant difference in mean time to completion of medical school between women and men.A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed: Women Men [ Select ] Sample Size -1.2403 100 Sample Mean -15.3846 8.5 years Sample Standard Devia -8.5470 0.5 years -1.2516 Perform the appropriate -1.645 ther there is a significant difference in time to completion of medical school betwe 1.645 05. -1.96 Step 1: Ho : /1 - /2 1.96 Step 2: Test Statistic z = can cannot Step 3: Reject the null h -1.2403 [ Select ] -15.3846 Step 4: We at there is a significant difference in mean time to -8.5470 completion of medical s -1.2516 -1.645 1.645 -1.96