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:

Interpret

The process of explaining or providing the meaning of something, often applied to data analysis to derive conclusions or insights from data.

Variable

A variable is any characteristic, number, or quantity that can be measured or observed and can change across different situations or among individuals.

Assumption of Normality

The presumption that the data being analyzed is drawn from a normally distributed population, which is a common requirement for many statistical tests.

Distribution Shape

Describes the overall appearance of the data's frequency distribution, including characteristics like symmetry, skewness, and kurtosis.