Suppose that you are interested in estimating the average number of miles per gallon of gasoline your car can get. You calculate the miles per gallon for each of the next twenty-three times you fill the tank. Suppose that in truth, the values for your car are bell-shaped, with a mean of 30 miles per gallon and a standard deviation of 1. Find the possible sample means you are likely to get based on your sample of twenty-three observations. Consider the intervals into which 68%, 95%, and almost all of the potential sample means will fall, using the Empirical Rule. (Round all answers to the nearest thousandth.) About 68% of possible sample means will be in the range between and . About 95% of possible sample means will be in the range between and . About 99.7% of possible sample means will be in the range between and .
Suppose that you are interested in estimating the average number of miles per gallon of gasoline your car can get. You calculate the miles per gallon for each of the next twenty-three times you fill the tank. Suppose that in truth, the values for your car are bell-shaped, with a mean of 30 miles per gallon and a standard deviation of 1. Find the possible sample means you are likely to get based on your sample of twenty-three observations. Consider the intervals into which 68%, 95%, and almost all of the potential sample means will fall, using the
About 68% of possible sample means will be in the
About 95% of possible sample means will be in the range between and .
About 99.7% of possible sample means will be in the range between and .
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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