[Steps Shown] The total purchase of shoppers in a certain department store is normally distributed with an average of $50.00, and a standard deviation of
Question: The total purchase of shoppers in a certain department store is normally distributed with an average of $50.00, and a standard deviation of $4.00. If the store takes a random sample of 100 shoppers exiting the store, what is the standard deviation of the sample-mean purchase? What is the probability that the sample-mean purchase will exceed $51.00?
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