This is a quantitative comparison question. Set X consists of 100 bags of rice with an average weight of 90 pounds per bag, and the standard deviation of the weights is 8 pounds.
A = 42
B = the range of weights of the bags of rice in set X.
The correct answer is D, because the range could be bigger, smaller, or equal to 42. However, I have a question about a modified version of this question. Suppose that the question stipulated that this is a normal distribution (I'm assuming it's not). In that case, mustn't it be true that roughly 0.2% of the sample values are necessarily greater than 3 SD's from the mean? And if that is true, then it would follow that whatever the range of the set is, it must be greater than the difference between +3SD and -3SD; 114 (+3 SD) MINUS 66 (-3SD) = 48. Hence, if the distribution were normal, would the answer be B?
Thanks in advance.