These are the questios
42. Independent random samples are selected from two populations. Below are selected summary statistics. Pop. Mean Stand. Dev. Sample size 62.00 10,00 17 2 54.00 6.00 10 (a) Construct the 95% confidence interval for (b) Obtain the P-value for the alternative Ax my. Show your work. You will re- ceive no credit for simply reporting your answer. 43. Independent random samples are selected from two populations. Below are selected summary statistics. Pop. Mean Stand. Dev. Sample size 73.00 10,00 14 2 62.50 6.00 (a) Construct the 95% confidence interval for MX - BY. (b) Obtain the P-value for the alternative 44. A regression analysis yields the line 1 = 32 + 0.4.. One of the subjects, Racheal, has a = 60 and 1 = 52. (a) Calculate Racheal's predicted value, 9. (b) Calculate Racheal's residual. 45. A regression analysis yields the line # = 18 + 0.25x. One of the subjects, Mary, has a = 40 and y = 32. (a) Calculate Mary's predicted value, g. (b) Calculate Mary's residual. 1346. Fifty students take midterm and final exams. On the midterm exam, the mean score is 45.0 and the standard deviation is 7.00. On the final exam, the mean score is 85.0 with a standard deviation of 14.00. The correlation coefficient of the two scores is 0.64. Obtain the least squares regression line for us- ing the final exam score to predict the midterm exam score. 47. Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the stan- dard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard devia- tion of 10.00. The correlation coefficient of the two scores is 0.70. Obtain the least squares regression line for us- ing the second exam score to predict the first exam score. 48. Below is a coordinate system with the regres- sion line y = 12 - 2x. 12 10 6 4 2 O 0 N 3 (a) Locate the point that has x = 3 and y = 8; put an A at that point. (b) Locate the point that has a = 5 and e = 2; put a B at that point. (c) Locate the point that has y = 6 and e = -2; put a C at that point. (d) Locate the point that has y = 6 and e = -4; put a D at that point. (e) Draw the line that represents all points for which e = -2.(f) Given that :E = 3. what is the value of g? 49. Below is a coordinate system with the regres- sion line 3? = 12 21'. 12 10 Graham {J l 2 3 4 5 (a) Locate the point that has :1.- = 2 and y = {3; put an A at that point. (b) Locate the point that has :1: = 4 and s = 4; put a B at that point. (c) Locate the point that has y = 8 and e = 2; put a C at that point. ((1) Draw the line that represents all points for which e = 3. (e) Given that :E = 4, what is the value of '? 50. Children in grade six take two exams each: one on math and one on vocabulary. For each exam, larger scores are better. One child. Eric, scores 40 on the math test and 60 on the vocabulary test. a Eric scored 5 points below the mean on the math exam. 0 Eric scored 10 points above the mean on the vocabulary.r exam. :- Diane obtains the regression line for using the math score to predict the vocabulary score. According to her line, Eric scored 10 points lower than predicted. I'h
