A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 211 members were looked at and their mean number of visits per week was 2.1 and the standard deviation was 1.7. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a ? t  distribution. b. With 90% confidence the population mean number of visits per week is between____and____visits. c. If many groups of 211 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 visits per week and about____percent will not contain the true population mean number of visits 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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A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 211 members were looked at and their mean number of visits per week was 2.1 and the standard deviation was 1.7. Round answers to 3 decimal places where possible.

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

b. With 90% confidence the population mean number of visits per week is between____and____visits.

c. If many groups of 211 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 visits per week and about____percent will not contain the true population mean number of visits per week. 

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