A fitness center is interested in finding a 98% 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 239 members were looked at and their mean number of visits per week was 3.2 and the standard deviation was 1.6. a. To compute the confidence interval use a ? ✓ distribution. b. With 98% confidence the population mean number of visits per week is between and visits. c. If many groups of 239 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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A fitness center is interested in finding a 98% 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 239 members were looked at and
their mean number of visits per week was 3.2 and the
standard deviation was 1.6.
a. To compute the confidence interval use a ? ✓
distribution.
b. With 98% confidence the population mean number of
visits per week is between
and
visits.
c. If many groups of 239 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 98% 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 239 members were looked at and their mean number of visits per week was 3.2 and the standard deviation was 1.6. a. To compute the confidence interval use a ? ✓ distribution. b. With 98% confidence the population mean number of visits per week is between and visits. c. If many groups of 239 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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