Use the Given Degree of Confidence and Sample Data to Construct

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) $69.2 < \mu < 83.2$