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:

Community Mental Health

A field of public health concerned with the study, prevention, and treatment of mental health conditions within community settings rather than individual or private therapy sessions.

Biomedical Therapies

Treatments for mental disorders that involve physical interventions, such as medication or surgery.

Local Care

Healthcare services provided within a community or a specific locality, focusing on accessibility and tailored health needs.

Deinstitutionalization

The process of moving individuals with mental health conditions out of large, state-run institutions into community-based treatment settings.