Problem $2$: Call centers today play an important role in managing day$-$to$-$day business communications with customers. It$$s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call center performance is service level which is defined as the percentage of calls answered by a human agent within a specified number of seconds. The file ServiceLevel contains the following data for time, in seconds, to answer $50$ incoming calls to a financial services call center: b$.$Construct a boxplot and describe its shape.

c$.$What can you conclude about call center performance if the service level target is set as $75\%$ of calls answered in under $20$ seconds?$($Hint: Use the Boxplot$)$

d$.$Construct a $99\%$ confidence interval estimate for the population mean time, in seconds, to answer incoming calls.