Suppose You Want to Estimate a Population Mean $\mu$ And That $\bar { x } = 145 , \mathrm {~s} = 21 , \mathrm { n } = 750$

Suppose you want to estimate a population mean $\mu$ and that $\bar { x } = 145 , \mathrm {~s} = 21 , \mathrm { n } = 750$ , and $\mathrm { N } = 4000$ . Find an approximate $95 \%$ confidence interval for $\mu$ .

A) $145 \pm 0.30$
B) $145 \pm 0.66$
C) $145 \pm 1.38$
D) $145 \pm 2.71$