# Question

You have been told that the distribution of regular unleaded gasoline prices over all gas stations in Indiana is normally distributed with mean $2.95 and standard deviation $0.075, and you have been asked to find two dollar values such that 95% of all gas stations charge somewhere between these two values. Why is each of the following an acceptable answer: between $2.776 and $3.081, or between $2.803 and $3.097?

Can you find any other acceptable answers? Which of the many possible answers would you give if you are asked to obtain the shortest interval?

Can you find any other acceptable answers? Which of the many possible answers would you give if you are asked to obtain the shortest interval?

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