Problem 132
In each case, consider what you know about the distribution and then explain why you would expect it to be or not to be normally distributed.
a. The wealth of the parents of students attending your school
b. The values that a group of fourth-grade students would give for the length of a segment that they measured with a ruler
c. The SAT or ACT examination scores in mathematics for students who were in your high school graduation class.
d. The weights of all incoming freshman students at your school
Solution
a. yes, I would expect the wealth of the parents to be normally distributed , because Some parents are from the rich class and some are from the middle class.
b. Yes, it would be normally distributed; because some student measures long and some measure short and most of them will be close to the exact value.
c. Yes, it would be normally distributed, most of the student scores around 550 and some score higher and some scores low.
d.yes, it would be normally distributed , most of the freshmen being around their healthy weight for their height, some people being underweight and some being overweight.