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Students at a liberal arts college study for an average of 10 hours per week with...

Students at a liberal arts college study for an average of 10 hours per week with a standard deviation of 2 hours per week. The distribution of their study time happens to be uni-modal, symmetric and bell shaped. Approximately 68% of students study between 8 and B hours a week.

What is the value of B? Please show steps and excel formula

Math   Statistics-And-Probability   
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Answer #1

It is given that the distribution is uni-modal, symmetric and bell shaped, this means that it will follow the empirical formula for the mean and standard deviation

From the empirical formula, it is clear that 68% of the data values fall within 1 Standard deviation below and above the mean

so, one standard deviation below the mean =

one standard deviation above the mean =

So, approximately 68% of students study between 8 and 12 hours a week.

(There is no special excel formula used, only addition or '+' function is used)

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