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I have taken a (random) sample of the gas mileage gotten by my Hyundai Elantra for...

I have taken a (random) sample of the gas mileage gotten by my Hyundai Elantra for 20 tanks.

The results are given below: 22.4 26.8 29.5 34.4 22.7 30 28.2 26.5 25 25.6 27.2 24.2 26.8 28.1 25.6 24.6 28.5 26.3 24.1 29.7

a) (4 pts) Find the mean and sample standard deviation.

b) (6 pts) Assuming the population is roughly normal, find a 90% confidence interval for the mean gas mileage of my Hyundai Elantra.

c) (6 pts) Assuming the population is normal with a standard deviation of 3 mpg, how many gas mileages would I have to sample to get a 99% confidence interval for the mean gas mileage of my Hyundai Elantra with an error of at most 1 mpg?

d) (6 pts) Use this mileage data to determine a 99% confidence interval for the proportion of my Hyundai Elantra fill-ups that result in a mileage of less than 28 mpg.

Math   Statistics-And-Probability   
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