A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results: What value should be used as the mean of the sampling distribution of sample means?
A)470 hours
B)495 hours
C)500 hours
D)515 hours
E)525 hours

Question

A design engineer wants to construct a sample mean chart for controlling the service life of one of the types of light bulbs his company produces.He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours.On three recent production batches,he tested service life on random samples of four bulbs,with these results:  What value should be used as the mean of the sampling distribution of sample means?
A)470 hours 
B)495 hours 
C)500 hours 
D)515 hours 
E)525 hours

Quizplus · Accepted Answer

The mean of the sampling distribution of sample means is equal to the population mean. In this case, the population mean is given as 500 hours. Therefore, the best choice is C) 500 hours.

A Design Engineer Wants to Construct a Sample Mean Chart