Question

A soft-drink bottle vendor claims that its process yields bottles with a meaninternal strength of 157 psi (pounds per square inch) and a standard deviation of 3psi and is normally distributed. As part of its vendor surveillance, a bottler strikesan agreement with the vendor that permits the bottler to sample from the vendor'sproduction to verify the vendor's claim.A) Suppose the bottler randomly selects 15 bottles to sample. What is the meanand standard deviation?B) Suppose it's not normally distributed. What is the mean and standard deviationfor 64 randomly selected bottles?

Answer 1

From the problem, we are given:

mean = 157 psi

standard deviation 3 psi

Since it is a non-normal distribution, given that n=64. We will use the following formula: