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Find the probability and interpret the results. If convenient, use technology to find the probability. During a certain week the mean price of gasoline was

Find the probability and interpret the results. If convenient, use technology to find the probability. During a certain week the mean price of gasoline was $2.707

per gallon. A random sample of 38 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $2.696

and $2.721 that week? Assume =$0.041

Please use the standard normal table.

The probability that the sample mean was between $2.696 and $2.721 is _______ (Round to four decimal places as needed.)

Interpret the results. Choose the correct answer below.

A. About 93% of samples of 38 gas stations that week will have a mean price between$2.696 and $2.721.

B. About 7% of the population of 38 gas stations that week will have a mean price between $ 2.696 and $2.721.

C. About 7% of samples of 38 gas stations that week will have a mean price between $ 2.696 and $2.721.

D. About 93% of the population of 38 gas stations that week will have a mean price between $ 2.696 and $2.721.

Choose the correct your answer(s).

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