Use the Given Degree of Confidence and Sample Data to Construct

question 54

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with $s = 17.6$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content of all such eggs.

• A) \(173.7 \mathrm { mg } < \mu < 196.3 \mathrm { mg }\)
• B) \(175.9 \mathrm { mg } < \mu < 194.1 \mathrm { mg }\)
• C) \(173.8 \mathrm { mg } < \mu < 196.2 \mathrm { mg }\)
• D) \(173.9 \mathrm { mg } < \mu < 196.1 \mathrm { mg }\)

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Definitions:

Parkinson Disease

A neurodegenerative disorder characterized by motor symptoms such as tremor, rigidity, and bradykinesia, due to the loss of dopamine-producing cells in the brain.

Maternal Attention

The focus, care, and nurturing behavior a mother provides to her offspring, crucial for emotional and physical development.

Hippocampus

A key structure of the brain involved in memory formation and spatial navigation located in the temporal lobe.

Temporal Cortex

A region of the cerebral cortex located at the sides of the brain, involved in processing auditory information and is important in memory and emotion.