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 the city. The study included 185 residents whose mean number of pounds of trash generated per person per week was 37.2 pounds and the standard deviation was 6.3 pounds. Round answers to 3 decimal places where possible. 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 185 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 the city. The study included 185 residents whose mean number of pounds of trash generated per person per week was 37.2 pounds and the standard deviation was 6.3 pounds. Round answers to 3 decimal places where possible.

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 185 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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