If $\overline { \bar { X } }$ = 23 ounces, ? = 0.4 ounces, and n = 16, the ±3? control limits will be
A) 21.8 to 24.2 ounces
B) 23 ounces
C) 22.70 to 23.30 ounces
D) 22.25 to 23.75 ounces
E) none of the above

Question

Quizplus · Accepted Answer

The control limits are calculated as $\overline { \bar { X } } \pm 3 \times \frac{\sigma}{\sqrt{n}}$. Here, $\overline { \bar { X } } = 23$, $\sigma = 0.4$, and $n = 16$. So, the limits are $23 \pm 3 \times \frac{0.4}{\sqrt{16}} = 23 \pm 0.3$, which gives 22.70 to 23.30 ounces.

If Xˉ‾\overline { \bar { X } }Xˉ = 23 Ounces, ? = 0

If $\overline { \bar { X } }$ = 23 Ounces, ? = 0