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 136 residents whose mean number of pounds of trash generated per person per week was 35.8 pounds and the standard deviation was 6.9 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 136 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
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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 136 residents whose mean number of pounds of trash generated per person per week was 35.8 pounds and the standard deviation was 6.9 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 136 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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