• 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 midsized companies in the United States that have experienced a ransomware attack reveals the following: Time spent dealing with and containing a ransomware incident: hours, hours.  Thirteen small to midsize companies lost customers as a result of a ransomware incident.  a. Construct a 99% confidence interval estimate for the population mean time spent dealing with and containing a ransomware incident.b. Construct a 95% confidence interval estimate for the population proportion of small to midsized companies who have lost customers as a result of a ransomware incident.8.58 The human resource (HR) director of a large corporation wishes to study absenteeism among its mid-level managers at its central office during the year. A random sample of 25 mid-level managers reveals the following:Absenteeism: days, days.13 mid-level managers cite stress as a cause of absence. a. Construct a 95% confidence interval estimate for the mean number of absences for mid-level managers during the year.b. Construct a 95% confidence interval estimate for the population proportion of mid-level managers who cite stress as a cause of absence.Suppose that the HR director wishes to administer a survey in one of its regional offices. Answer these questions:c. What sample size is needed to have 95% confidence in estimating the population mean absenteeism to within days if the population standard deviation is estimated to be 8 days?d. How many mid-level managers need to be selected to have 90% confidence in estimating the population proportion of mid-level managers who cite stress as a cause of absence to within if no previous estimate is available?e. Based on (c) and (d), what sample size is needed if a single survey is being conducted?