The diameter of a mason jar is 3 inches but can be as large as 3.03 inches and as small as 2.97 inches. Twenty-five samples of mason jars are taken and it is discovered that these components have a grand mean of 3.01 inches and a standard deviation of 0.02 inches. What is the probability of producing a bad product?
A) 0.60
B) 0.18
C) 0.32
D) 0.45
E) 0.84

Question

Quizplus · Accepted Answer

The probability of producing a bad product is calculated using the standard deviation and the range of acceptable diameters. The z-scores for the limits (2.97 and 3.03) are calculated, and the probability of being outside these limits is found using the standard normal distribution.

The Diameter of a Mason Jar Is 3 Inches but Can