The distribution of heights of a population of adults is approximately normal with mean 66 inches and SD 2.5 inches.Approximately what percent of the adults have heights that are within 1 inch of the average?

Question

anonymous · Answer

tell me this one 

The average weight of a group of people is 156 pounds and the SD is 25 pounds. A statistician wants to transform the weights so that the transformed weights have an average of 100 pounds and an SD of 10 pounds. Fill in the blanks; both blanks must be filled in correctly for credit.

Note: the first blank corresponds to the higher entry box; the second blank corresponds to the lower entry box.

One way for the statistician to get the transformation that she wants is to multiply all the weights by _____________, and then add _____________ to the resulting values.

nurali · Answer

Multiply by 10/25 = 0.4 to transform the SD from 25 to 10. The new average is then 62.4. Add 100 - 62.4 = 37.6 to the resulting values to make the average 100.