The mayor is interested in finding a 90% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 219 residents whose mean number of pounds of trash generated per person per week was 35.7 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     distribution. b. With 90% confidence the population mean number of pounds per person per week is between  and   pounds. c. If many groups of 219 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.

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The mayor is interested in finding a 90% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 219 residents whose mean number of pounds of trash generated per person per week was 35.7 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     distribution.

b. With 90% confidence the population mean number of pounds per person per week is between  and   pounds.

c. If many groups of 219 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. 

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Here, the population standard deviation is unknown and the sample size is 129 (> 30), which is large rough.

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