An information technology$($IT$)$ provider of cloud backup and restore solutions for small to midsize businesses wants to study the consequences of ransomware attacks. A random sample of $50$ small to midsize companies in the United States that have experienced a ransomware attack reveals the following information.

Time spent dealing with and containing a ransomware$$ incident: X$=45$hours$,$ S$=9$ hours

Thirteen small to midsize companies lost customers as a result of a ransomware incident

Complete parts$($a$)$ and$($b$).$

Construct a $90\%$ confidence interval estimate for the population mean time spent dealing with and containing a ransomware incident.