The distribution of the actual weight of potato chips in a 16 ounce sack is thought to be bell-shaped with a mean equal to 16 ounces and a standard deviation equal to 0.45 ounces. Based on this, between what two limits could we expect 95 percent of all sacks to weigh?
A) 14 to 18 ounces
B) 15.10 to 16.90 ounces
C) 15.55 to 16.45 ounces
D) 14.65 to 17.35 ounces

Question

Quizplus · Accepted Answer

Using the empirical rule (68-95-99.7 rule) for a bell-shaped distribution, 95% of the data falls within 2 standard deviations of the mean. The mean is 16 ounces, and the standard deviation is 0.45 ounces. Therefore, 2 standard deviations is 0.9 ounces. Adding and subtracting this from the mean gives us the range 15.10 to 16.90 ounces.

The Distribution of the Actual Weight of Potato Chips in a 16