1.Dance Company StudentsThe number of students who belong to the dance company at each of several randomly selected small universities is shownbelow.Round sample statistics and final answers to at least one decimalplace.

47 30 29 30 26 26 27 35 21 22 27 47 29 29 30 47 30 21

Estimate the true population mean size of a university dance company with

99 %confidence. Assume the variable is normallydistributed.

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2.Work Time Lost due to AccidentsAt a large company, the Director of Research found that the average work time lost by employees due to accidents was101 hours peryear.She used a random sample of21employees.The standard deviation of the sample was5.8 hours.Estimate the population mean for the number of hours lost due to accidents for the company, using a95% confidenceinterval.Assume the variable is normallydistributed.Round intermediate answers to at least three decimalplaces.Round your final answers to the nearest wholenumber.

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3.Indy500Qualifier SpeedsThe speeds in miles per hour of six randomly selected qualifiers for the Indianapolis500 (in 2012) are listed below. Estimate the mean qualifying speed with 99% confidence. Round your answers to at least four decimalplaces.222.929, 223.422, 223.684, 224.037, 225.172,226.240

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4.Unhealthy Days in CitiesThe number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Round the sample statistics and final answers to at least one decimalplace.

5, 27, 5, 50, 6, 15, 3, 23

Construct a95% confidence interval based on the data. Assume the variable is normallydistributed.

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