1.Fast-Food Bills for Drive-Thru CustomersA random sample of41 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $16.88 per car. The population standard deviation is$4.94. Estimate the mean bill for all cars from the drive-thru with96%confidence. Round intermediate and final answers to two decimal places.

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2.The numbers of faculty at20 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under12,000 with 92% confidence. Assume = 165.1. Round intermediate and final answers to one decimal place. Assume the population is normally distributed. 539, 471, 211, 384, 396, 224, 337,395,121,356,621,367,408,515,280,289,180,431,176,318.

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3.Thunderstorm SpeedsA meteorologist who sampled6thunderstorms found that the average speed at which they traveled across a certain state was14miles per hour. The standard deviation of the sample was4.9miles per hour. Round the final answers to at least two decimal places.

Find the90% confidence interval of the mean. Assume the variable is normally distributed.

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4.Indy500Qualifier SpeedsThe speeds in miles per hour of seven randomly selected qualifiers for the Indianapolis500

(in 2012) are listed below. Estimate the mean qualifying speed with 95%confidence. Round your answers to at least four decimalplaces. 222.929, 223.422, 222.891, 225.172, 226.484,226.240, 224.037

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5.Travel to Outer SpaceA CBS News/New York Times poll found that329out of763randomly selected adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with93%accuracy. Round your answers to at least three decimal places.

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