The accompanying data on X = student-teacher ratio is for a random sample of 20 high schools in Maine selected from a population of 85 high schools. The data are consistent with summary values for the state of Maine that appeared in an article in the Bangor Daily News.+ The corresponding normal scores are also shown. stu?a1:;T(e:;her Normal Score 9.0 -1.868 10.0 -1.403 11.0 1.128 11.2 o.919 11.6 0.744 11.7 o.539 11.8 -0.448 11.9 -0.315 12.0 0.187 12.1 0.062 125 0.062 12.6 0.187 13.0 0.315 13.2 0.448 13.6 0.589 13.7 0.744 14.0 0.919 145 1.128 14_9 1.403 150 1.868 IA USE SALT (a) Construct a normal probability plot. 16 16/ 14 14 Student-Teacher Ratio 12 Student-Teacher Ratio 12 . . . 10 10 8 8 -2 -1 0 1 2 - 2 -1 O 0 Normal Score 1 2 Normal Score 16/ 16/ 14 14 Student-Teacher Ratio 12 . . . . . . . Student-Teacher Ratio 12 10 10 8 8 -2 -1 0 1 2 -2 -1 O 1 Normal Score 2 Normal Score(b) Calculate the correlation coefficient for the (normal score, x) pairs. r: Compare this value to the appropriate critical r value from Table 6.2 to determine if it is reasonable to think that the distribution of student-teacher ratios for high schools in Maine is approximately normal. 0 Yes, it is reasonable to think that the distribution of student-teacher ratios for high schools in Maine is approximately normal. 0 No, it is not reasonable to think that the distribution of student-teacher ratios for high schools in Maine is approximately normal