A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately
Bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05
Gallons.
A) 68%
B) 32%
C) 95%
D) almost all (greater than 95%)

Question

Quizplus · Accepted Answer

According to the empirical rule for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean. Here, 0.95 to 1.05 gallons is within one standard deviation (0.05 gallons) from the mean (1 gallon).

A Paint Manufacturer Discovers That the Mean Volume of Paint