A Quality Analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that whenever this process is under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results: What value should be used as the mean of the sampling distribution of sample means?
A)19 ounces
B)20 ounces
C)20.6 ounces
D)21 ounces
E)23 ounces

Question

A Quality Analyst wants to construct a sample mean chart for controlling a packaging process.He knows from past experience that whenever this process is under control,package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces.Each day last week,he randomly selected four packages and weighed each with the following results:  What value should be used as the mean of the sampling distribution of sample means?
A)19 ounces 
B)20 ounces 
C)20.6 ounces 
D)21 ounces 
E)23 ounces

Quizplus · Accepted Answer

The mean of the sampling distribution of sample means is equal to the population mean, which is 20 ounces in this case. Therefore, the best choice is B.

A Quality Analyst Wants to Construct a Sample Mean Chart