Use the Confidence Level and Sample Data to Find a Confidence

question 87

Multiple Choice

Use the confidence level and sample data to find a confidence interval for estimating the population µ. Round your answer to the same number of decimal places as the sample mean.
-A random sample of 108 light bulbs had a mean life of $\bar { x } = 547$ hours with a standard deviation of $\sigma = 36$ hours. Construct a $90 \%$ confidence interval for the mean life, $\mu$ , of all light bulbs of this type.

• A) \(541 \mathrm { hr } < \mu < 553 \mathrm { hr }\)
• B) \(538 \mathrm { hr } < \mu < 556 \mathrm { hr }\)
• C) \(539 \mathrm { hr } < \mu < 555 \mathrm { hr }\)
• D) \(540 \mathrm { hr } < \mu < 554 \mathrm { hr }\)

---

Definitions:

Audience

A group of individuals who gather to watch, listen to, or read a performance, presentation, or work of art.

Motive

An internal driving force that causes a person to take action and pursue goals.

Message

A piece of information or communication sent from one person or entity to another, typically through spoken, written, or digital means.

Propinquity

The physical or psychological proximity between people, which increases the likelihood of interaction and relationship formation.