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The manager of a night club in boston stated that 95% of the customers are between the ages of 21 and 27 years. if the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation.

User Fenda
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95% of a normal distribution lies within ±1.96 standard deviations of the mean. That is, ±3 years represents ±1.96 standard deviations, so ...
.. the standard deviation is 3/1.96 = 1.53 years.
User Keshav Saharia
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