A real estate company, We Rent Houses, regularly conducts surveyfor average rents in Tampa Bay area. According to its latestsurvey, the sample mean rent in 2019 was $950 for Pasco County and$1,160 in Hillsborough County. Assume the survey sampled rents for160 rental units in each county. Also, assume the standarddeviation in rents based on the survey was $175 in Pasco County and$230 in Hillsborough County. Do not use PHStat4 for this part.Compute the values manually.
a. Calculate a 95% confidence interval for the population meanrent for Hillsborough County. Provide an interpretation of theconfidence interval.
b. Calculate a 95% confidence interval for the population meanrent for Pasco County. Interpret.
c. Is it possible that the population mean rent in Pasco Countyis higher than that in Hillsborough County? Explain