A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1.1 gallons with a standard deviation of 0.1 gallons. The paint volumes are approximately bell-shaped. Estimate The percent of pails with volumes between 1.00 gallon and 1.20 gallons.
A) almost all (greater than 95%)
B) 68%
C) 32%
D) 95%

Question

Quizplus · Accepted Answer

According to the empirical rule (68-95-99.7 rule) for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Since 1.00 and 1.20 gallons are one standard deviation below and above the mean, respectively, about 68% of the pails will have volumes in this range.

A Paint Manufacturer Discovers That the Mean Volume of Paint