$(1$ point$)$

A statistics practitioner took a random sample of $40$ observations from a population whose standard deviation is $31$ and computed the sample mean to be $105.$

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 $90\%$ confidence.

Confidence Interval $=$

C$.$ Estimate the population mean with $99\%$ confidence.

Confidence Interval $=$