Use the Given Degree of Confidence and Sample Data to Construct

question 56

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4.
Construct the 95% confidence interval for the mean score of all such subjects.

• A) \(74.6 < \mu < 77.8\)
• B) \(67.7 < \mu < 84.7\)
• C) \(64.2 < \mu < 88.2\)
• D) \(69.2 < \mu < 83.2\)

---

Definitions:

Rare Illnesses

Diseases or conditions that affect a small percentage of the population, often lacking widespread medical research or treatment options.

Core Medical Values

Fundamental ethical principles that guide medical practice, such as respect for autonomy, nonmaleficence, beneficence, and justice.

Primary Care Doctor

A healthcare professional who serves as the first point of consultation for patients and provides ongoing care for a variety of medical issues.

Rural Area

A geographical area located outside towns and cities, often characterized by lower population density, agricultural or natural landscapes, and limited infrastructure.