The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 160 residents whose mean number of...

The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 160 residents whose mean number of pounds of trash generated per person per week was 36.7 pounds and the standard deviation was 7.7 pounds.

a. To compute the confidence interval use a  ?   distribution.

b. With 95% confidence the population mean number of pounds per person per week is between ? and ?  pounds.

c. If many groups of 160 randomly selected members are studied, then a different confidence interval would be produced from each group. About ?  percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about ? percent will not contain the true population mean number of pounds of trash generated per person per week.