Monday, 6 April 2020

Suppose an independent environmental group computes the gas mileage for a random sample of 100 new models

Suppose an independent environmental group computes the gas mileage for a random sample of 100 new models of the same car make and model in order to make a statement about the gas mileage of this make and model. The results on these 100 cars include the following summary statistics:
• Sample mean mileage, 31.4 mpg
• Sample standard deviation: 1.2 mpg
• Sample median: 31.2 mpg
a. Assuming the gas mileage data is normally distributed, estimate a range of gas mileage for most (95%) of the cars of this make and model based on the sample results
b. Assuming the gas mileage data is normally distributed, estimate a 95% confidence interval for the mean gas mileage for all cars that are this make and model
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