If $\bar x$ = 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) 23.3 to 25.7 ounces.

Question

Quizplus · Accepted Answer

The control limits are calculated as $\bar x \pm 3(\frac{\sigma}{\sqrt{n}})$. Here, $\sigma = 0.4$, $n = 16$, so the standard error is $\frac{0.4}{\sqrt{16}} = 0.1$. Thus, the control limits are $23 \pm 3(0.1) = 22.70$ to $23.30$ ounces.

If xˉ\bar xxˉ = 23 Ounces, ? = 0

If $\bar x$ = 23 Ounces, ? = 0