The mean weight of 100 bags of rice is 90 pounds and the s.d. is 8 pounds. Bag A weighs 2 s.d. < mean and Bag B weighs 5 pounds > mean. Is A>B?

Question

The average weight of a set X of 100 bags of rice is 90 pounds , and the standard deviation is 8 pounds. Bag A weighs 2 standard deviations below the average weight and Bag B weighs 5 pounds more than Average.

Choose if quantity A or quantity B is bigger , equal or the information provided is not sufficient:

Quantity A: Difference between weight of Bag A and Bag B Quantity B: The range of weight of bags in set X

Answer 1

Hint:

Without knowing how the data are distributed, how can we determine the range (to calculate quantity B) just from knowing the mean and standard deviation?

So, I feel the answer should be: Cannot be determined.