Construct a 99% confidence interval for the average number of kilometers an automobile is driven annually in Virginia.

A random sample of 100 automobile owners in the state of Virginia shows that an automobile is driven on average 23,500 kilometers per year with a standard deviation of 3,900 kilometers. Assume the distribution of measurements to be approximately normal.

a) Construct a 99% confidence interval for the average number of kilometers an automobile is driven annually in Virginia.

b) What can we assert with 99% confidence about the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year?

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