Question 1
Use the t distribution to construct the confidence interval estimate of the population mean. Round the confidence interval estimates to one decimal place unless indicated otherwise.
Among a simple random sample of 12 students selected from one college, the mean number of siblings is 1.3 with a standard deviation of 1.1. Construct the 95% confidence interval estimate of the population mean.
◦ 1.0 < μ < 1.6
◦ 1.1 < μ < 1.5
◦ 10.1 < μ < 13.9
◦ 0.66 < μ < 1.9
Question 2
Use the t distribution to construct the confidence interval estimate of the population mean. Round the confidence interval estimates to one decimal place unless indicated otherwise.
You want to estimate the average gasoline price in your city for a gallon of regular gasoline. You take a simple random sample of prices from 17 gasoline stations, recording an average cost of $2.07 and a standard deviation of $0.06. Assume that the population of these prices is normally distributed. Construct the 95% confidence interval estimate of the population mean. Round your estimates to the nearest cent.
◦ $2.04 < μ < $2.10
◦ $2.04 < μ < $2.08
◦ $2.01 < μ < $2.13
◦ $2.06 < μ < $2.08
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