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The average age of residents in a large residential retirement community is 69 ...

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The average age of residents in a large residential retirement community is 69 years with standard deviation 5.8 years. A simple random sample of 100 residents is to be selected, and the sample mean age of these residents is to be computed.

The probability that the average age of the 100 residents selected is more than 70 years is  …

[Hint: first consider the sample standardised z-statistic]

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