SOLUTION: In a set of 36 months of data for medical leave that has a mean of 7 days per month and a standard deviation of 2.37, how many months are expected to have fewer than 9.37 days per

Question 1043792: In a set of 36 months of data for medical leave that has a mean of 7 days per month and a standard deviation of 2.37, how many months are expected to have fewer than 9.37 days per month reported medical leave (one standard deviation above the mean)?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The percentage of a normal distribution that is less than 1 sd above the mean is 0.8413. If that is multiplied by 36, 30.28 months would be expected to have fewer than 9.37 days per month, or rounding to 30 months. This answers the specific question.
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If one recognizes that number of days of leave is an integer, then we would use 9 days per month, and the probability it is fewer than 9 days per month is 0.80, so 28.8 months or 29 months would be the answer. This answers the reality of what the data mean.

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