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.
0.4
37.6