Question: For a certain urban area, it was found that an average of 31 burglaries occurred each month. The standard deviation from a previous sample was

For a certain urban area, it was found that an average of 31 burglaries occurred each month. The standard deviation from a previous sample was 4. How many months should be sampled if the city wants to be 99% confident of finding whether the true number of burglaries differs from the sample mean by only 2 burglaries?

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