A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results: $$\begin{array} { r }
{ \text { Service Life (hours) } }\
\begin{array} { l l l l l }
\text { Sample } & \
\hline 1 & 495 & 500 & 505 & 500 \
2 & 525 & 515 & 505 & 515 \
3 & 470 & 480 & 460 & 470
\end{array}\end{array}$$ What is the standard deviation of the sampling distribution of sample means for whenever service life is in control?
A) 5 hours
B) 6.67 hours
C) 10 hours
D) 11.55 hours
E) 20 hours

Question

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results: $$\begin{array} { r } 
 { \text { Service Life (hours) } }\
\begin{array} { l l l l l } 
\text { Sample } & \
\hline 1 & 495 & 500 & 505 & 500 \
2 & 525 & 515 & 505 & 515 \
3 & 470 & 480 & 460 & 470
\end{array}\end{array}$$ What is the standard deviation of the sampling distribution of sample means for whenever service life is in control?
A) 5 hours
B) 6.67 hours
C) 10 hours
D) 11.55 hours
E) 20 hours

Quizplus · Accepted Answer

The Answer of A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp 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 headlamps, with these results: $$\begin{array} { r } 
 { \text { Service Life (hours) } }\
\begin{array} { l l l l l } 
\text { Sample } & \
\hline 1 & 495 & 500 & 505 & 500 \
2 & 525 & 515 & 505 & 515 \
3 & 470 & 480 & 460 & 470
\end{array}\end{array}$$ What is the standard deviation of the sampling distribution of sample means for whenever service life is in control?
A) 5 hours
B) 6.67 hours
C) 10 hours
D) 11.55 hours
E) 20 hours

A Design Engineer Wants to Construct a Sample Mean Chart