statistics
A random sample of state gasoline taxes in cents is shown here for 12 states. Use the data to estimate the true population mean gasoline tax with 90% confidence. Does you interval contain the national average of 44.7 cents?
38.4 40.9 67 32.5 51.5 43.4
38 43.4 50.7 35.4 39.3 41.4
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Answers
The sample of gasoline taxes in cents has a mean of 45.675 and a standard deviation of 11.9824. To estimate the true population mean gasoline tax with 90% confidence, we can use a margin of error of 2.83. This means the confidence interval would contain the national average of 44.7 cents, since it has a range of 42.84 (45.675 - 2.83) to 48.47 (45.675 + 2.83).
