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The gas mileages​ (in miles per​ gallon) of 25 randomly selected sports cars are listed in...

The gas mileages​ (in miles per​ gallon) of 25 randomly selected sports cars are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the​ t-distribution to construct a 95​% confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results.

20 31 17 20 19 24 17 23 25 21 21 30 17 22 23 24 21 24 21 18 19 19

Let sigma be the population standard deviation and let n be the sample size. Which distribution should be used to construct the confidence​ interval? ____________ can be used to construct the confidence​ interval, since ___________.

Identify the confidence interval. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. (__,__) ​(Round to one decimal place as​ needed.)

B. Neither the standard normal distribution nor the​ t-distribution can be used to construct the interval.

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