The amount of money spent by a customer at a discount store has a mean of $\$ 100$ and a standard deviation of $\$ 30$. What is the probability that a randomly selected group of 50 shoppers will spend a total of more than $\$ 5300$ ? (Hint: The total will be more than $\$ 5300$ when the sample mean exceeds what value?)
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Step 1: Determine the sample mean expenditure per shopper that corresponds to a total amount of \$5300 for 50 shoppers. Show more…
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