Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-In a recent study of 42 eighth graders, the mean number of hours per week that they played video games was $19.6$ with a population standard deviation of $5.8$ hours. Compute the $98 \%$ confidence interval for $\mu$ .

A) $( 17.5,21.7 )$
B) $( 14.1,23.2 )$
C) $( 18.3,20.9 )$
D) $( 19.1,20.4 )$