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 $\mu$ . Assume that the population has a normal distribution.
- $\mathrm { n } = 30 , \overline { \mathrm { x } } = 84.6 , \mathrm {~s} = 10.5,90 \%$ confidence

A) $79.32 < \mu < 89.88$
B) $81.36 < \mu < 87.84$
C) $80.68 < \mu < 88.52$
D) $81.34 < \mu < 87.86$