Use the Given Degree of Confidence and Sample Data to Construct

question 55

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.
Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6 , construct a 99% confidence interval for the mean score of all students.

• A) \(91.68 < \mu < 98.32\)
• B) \(91.69 < \mu < 98.31\)
• C) \(92.95 < \mu < 97.05\)
• D) \(92.03 < \mu < 97.97\)

---

Definitions:

Median Nerve

A major nerve in the human body extending down the arm, through the carpal tunnel in the wrist, to the hand, responsible for sensation and movement.

Parasympathetic Division

A branch of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles.

Autonomic Nervous System

The part of the nervous system responsible for control of the bodily functions not consciously directed, such as breathing, the heartbeat, and digestive processes.

Motor Response

The physical reaction or movement in response to a specific stimulus, mediated by the central and peripheral nervous systems.