A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual problems or delays) for a pizza to be µ = 28.8 minutes with a standard deviation of σ = 6 minutes.  Assume the distribution of all delivery times is normal. James does not know any of the above information about delivery times.  He resolves to take a sample of 64 delivery times.  James will then calculate the mean of the 64 sampled delivery times (represented as X¯X¯ ) and use this as an estimate of the mean population delivery time µ (which he does not know, but you do, it is 28.8 minutes).   Consider all the potential sample means (X¯X¯) James could get.  Determine the standard deviatiion of all the potential sample means.   σX=σX=

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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.