According to the American Automobile Association, the average cost of a gallon of regular unleaded fuel at gas stations in January 2020 was $3.85. Assume that the standard deviation of such costs was $4.77. Suppose that a random sample of 60 gas stations was selected from the population and the cost per gallon of regular unleaded fuel was determined for each gas station. Consider X¯, the sample mean cost per gallon.  Describe the sampling distribution of X¯.  Find the probability that the sample had a mean fuel cost between $3.8 and $5.  How would the sampling distribution of X¯ change if the sample size were doubled? please give step by step answer

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.