A factory produces light bulbs and wants to estimate the average lifetime of all bulbs produced. The factory manager takes two random samples of bulbs from the production line. Sample A contains 100 bulbs with an average lifetime of 500 hours, and Sample B contains 500 bulbs with an average lifetime of 490 hours. Which sample will have a lower standard deviation of the sample mean?

Option #1: Sample A

Option #2: Sample B

(1 point)
Option #
will have a lower standard deviation of the sample mean.

1 answer

Option #1: Sample A

Sample A has a smaller sample size, which means the standard deviation of the sample mean will be smaller compared to Sample B with a larger sample size.