Question

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3 minutes. It is known that the standard deviation of the population of checkout times is 1 minute. The standard error of the mean equals?

Answer 1

Answer:

The standard error of the mean equals 0.1            

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 3 minutes

Sample size, n = 100

Population standard deviation, σ = 1 minute

Formula:

$\text{Standard Error} = \displaystyle\frac{\sigma}{\sqrt{n}}\\\\= \frac{1}{\sqrt{100}} = \frac{1}{10} = 0.1$

Thus, standard error of the mean equals 0.1