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Find the probability and interpret the results

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

​$2.709 per gallon. A random sample of 3535 gas stations is drawn from this population. What is the probability that the mean price for the sample was between

​$2.697 and $2.725 that​ week? Assume σ =​$0.0440

The probability that the sample mean was between

​$2.697 and $2.725 is

Choose the correct answer below.

A.

About 77​% of the population of 3535 gas stations that week will have a mean price between $ 2.697 and $2.725

B.

About

93​% of samples of 3535 gas stations that week will have a mean price between $ 2.697 and $2.725.

C.

About 77​% of samples of 3535 gas stations that week will have a mean price between $ 2.697 and $2.725

D.

About 93​% of the population of 3535 gas stations that week will have a mean price between $ 2.697 and $2.7252.

 
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