A fitness center is interested in finding a 99% 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 258 members were looked at and their mean number of visits per week was 2.1 and the standard deviation was 2.8. Round answers to 3 decimal places where possible. a. With 99% confidence the population mean number of visits per week is between and visits. b. If many groups of 258 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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A fitness center is interested in finding a 99% 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
258 members were looked at and their mean number of visits per week was 2.1 and the standard
deviation was 2.8. Round answers to 3 decimal places where possible.
a. With 99% confidence the population mean number of visits per week is between
and
visits.
b. If many groups of 258 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.
Transcribed Image Text:A fitness center is interested in finding a 99% 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 258 members were looked at and their mean number of visits per week was 2.1 and the standard deviation was 2.8. Round answers to 3 decimal places where possible. a. With 99% confidence the population mean number of visits per week is between and visits. b. If many groups of 258 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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