SOLUTION:
Step 1:
In this question, we are given the following:
Fluorescent light bulbs have lifetimes that follow a normal distribution, with an average life of 1,276 days and a standard deviation of 1,595 hours. In the production process, the manufacturer draws random samples of 231 lightbulbs and determines a sample's mean lifetime. What is the standard deviation, in hours, of this sample mean?
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} Standard\text{ Deviation of the sample mean =} \\ \frac{\sigma}{\sqrt{n}} \end{gathered}[/tex][tex]=\text{ }\frac{1595}{\sqrt{231}}[/tex][tex]=\text{ 104. 94 hours}[/tex]CONCLUSION:
The standard deviation, in hours, of the sample mean =
[tex]=\text{ 104. 94 hours}[/tex]