The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 178 residents whose mean number of pounds of trash generated per person per week was 37.4 pounds and the standard deviation was 7.5 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a t distribution. b. With 98% confidence the population mean number of pounds per person per week is between and 38.72 pounds. 36.08 c. If many groups of 178 randomly selected members are studied, then a different confidence interval would be produced from each group. About 98 percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about 2. percent will not contain the true population mean number of pounds of trash generated per person per week.