A Random Sample of N Measurements Was Selected from a Population

Multiple Choice

A random sample of n measurements was selected from a population with unknown mean µ and known standard deviation ?. Calculate a 95% confidence interval for µ for the given situation.
Round to the nearest hundredth when necessary.

$\mathrm { n } = 100 , \overline { \mathrm { x } } = 74 , \sigma = 25$

A) $74 \pm 0.49$
B) $74 \pm 4.11$
C) $74 \pm 4.9$
D) $74 \pm 49$