Story problem

Question

Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels. If you assume the samples are representative how many whole wheat bagels might you infer are sold at each store ?

Answer 1

Shop A proportion is 10/50=1/5

Shop B is 23/100

Shop C is 7/25

We now apply these fractions to 500 bagels to find expected amount of whole wheat bagels:

Shop A 500/5=100 whole wheat bagels

Shop B 23/100×500=115 whole wheat bagels

Shop C 7/25×500=140 whole wheat bagels