You have been told that the distribution of regular unleaded gasoline prices over all gas stations in Indiana is normally distributed with mean $3.25 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 $3.076 and $3.381, or between $3.103 and $3.397?
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?