A recent survey revealed that an American's Christmas spending averaged $830. Use this as the population mean American's Christmas spending. Suppose Americans' Christmas spending is normally distributed with a standard deviation of $220. A random sample of size 100 is selected from the population of American consumers.What is the probability that the sample mean spending is less than $815 or more than $855?

Question
Asked Oct 25, 2019

A recent survey revealed that an American's Christmas spending averaged $830. Use this as the population mean American's Christmas spending. Suppose Americans' Christmas spending is normally distributed with a standard deviation of $220. A random sample of size 100 is selected from the population of American consumers.

What is the probability that the sample mean spending is less than $815 or more than $855?

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Expert Answer

Step 1

From the given information, let us define the random variable X as the amount of spending follows norm...

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