Question

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?

Answer 1

Answer:

The standard error for the sample mean is 0.0289.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$, a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

The standard deviation of the sample is also called standard error for the sample mean.

We have that:

$\sigma = 0.1, n = 12$

$s = \frac{\sigma}{\sqrt{n}} = 0.0289$

The standard error for the sample mean is 0.0289.