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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

Respuesta :

Answer:

it lies between 8 hours and 12 hours in a week  

Step-by-step explanation:

Since in the question it is mentioned that the distribution consist of uni-modal, symmetric and bell shaped so here the empirical formual to be used for the mean and the standard deviation

Also the 68% would be fall within one standard deviation above and below the mean

Now

1 standard deviation below the mean is

[tex]= \mu - \sigma[/tex]

= 10 - 2

= 8 hours

And, above the mean is

[tex]= \mu + \sigma[/tex]

= 10 + 2

= 12 hours

Hence, it lies between 8 hours and 12 hours in a week  

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