Use the Confidence Level and Sample Data to Find a Confidence

question 52

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 104 light bulbs had a mean life of $\bar { x } = 543$ hours with a standard deviation of $\sigma = 26$ hours. Construct a $90 \%$ confidence interval for the mean life, $\mu$ , of all light bulbs of this type.

• A) \(536 \mathrm { hr } < \mu < 550 \mathrm { hr }\)
• B) \(537 \mathrm { hr } < \mu < 549 \mathrm { hr }\)
• C) \(538 \mathrm { hr } < \mu < 548 \mathrm { hr }\)
• D) \(539 \mathrm { hr } < \mu < 547 \mathrm { hr }\)

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Definitions:

Objective Test

A method of assessment where responses are limited to specific answers, allowing for easy scoring and comparison.

Questionnaire

A research instrument consisting of a series of questions for the purpose of gathering information from respondents.

Self-Awareness

The conscious knowledge of one's own character, feelings, motives, and desires.

Social Cognitive Theory

A school of psychology in the behaviorist tradition that includes cognitive factors in the explanation and prediction of behavior; formerly termed social learning theory.