Cameron is the quality inspector for the Mason Pot Company, an artesian cooperative crafting bowls. In the smaller series, the mean diameter is 4 inches with a standard deviation of 0.2 inch. First, find the expected value. Then answer: what is the standard error of the sample mean derived from a random sample of 12 bowls?
A) 0.058
B) 0.58
C) 0.001
D) 0.12

Question

Quizplus · Accepted Answer

The standard error of the sample mean is calculated using the formula $\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size. Here, $\sigma = 0.2$ inches and $n = 12$. Thus, $\sigma_{\bar{x}} = \frac{0.2}{\sqrt{12}} \approx 0.058$.

Cameron Is the Quality Inspector for the Mason Pot Company