$(1$ point$)$

A statistics practitioner took a random sample of $52$ observations from a population whose standard deviation is $21$ and computed the sample mean to be $104.$

Note: For each confidence interval, enter your answer in the form $($LCL$,$ UCL$).$ You must include the parentheses and the comma between the confidence limits$.$

A$.$ Estimate the population mean with $95\%$ confidence.

Confidence Interval $=$

B$.$ Estimate the population mean with $95\%$ confidence, changing the population standard deviation to $60$ ;

Confidence Interval $=$