Let us suppose that a certain probability instructor manages, with probability 1, to write exams that have mean75

75

and standard deviation12

12

. The instructor is teaching two classes, one of size 64 and the other of size 16, and is about to give an exam to both classes.

(a)Approximate the probability that the average test score in the class of size 64 exceeds 80.

Probability?

?

0.0004

(b)Repeat part (a) for the class of size 16.

Probability?

?

0.0475

(c)Approximate the probability that the average test score in the larger class exceeds that of the other by more than 1.6 points.

Probability?

?

0.3594

(d)Approximate the probability that the average test score in the smaller class exceeds that in the other by more than 1.6 points.

Probability?

?

(1 point) Let us suppose that a certain probability instructor manages, with probability 1, to write exams that have mean 75 and standard deviation 12. The instructor is teaching two classes, one of size 64 and the other of size 16, and is about to give an exam to both classes. (3) Approximate the probability that the average test score in the class of size 64 exceeds 80. Probability z\" 0.0004 (b) Repeat part (a) for the class of size 16. Probability z 0.0475 (c) Approximate the probability that the average test score in the larger class exceeds that of the other by more than 1.6 points. Probability z 0.3594 (d) Approximate the probability that the average test score in the smaller class exceeds that in the other by more than 1.6 points. Probability z