Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.36 to $3.82. use the fact that the confidence interval for the mean is in the form x − e to x + e to compute the sample mean and the maximal margin of error e. (round your answers to two decimal places.)

The sample mean = $3.59 and the margin of error is 0.23.

Step-by-step explanation:

The confidence interval for mean is given by :-

, where   is the sample mean and E is the margin of error .

Given :  A 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $3.36 to $3.82.

Lower limit of confidence interval :     (1)

Upper limit of confidence interval :     (2)

Adding (1) and (2) , we get

From (1) , we have

Hence, the sample mean = $3.59 and the margin of error is 0.23.

answer: 2530

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