You have a normal distribution of hours per week that music students practice. The mean of the value

Algebra
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You have a normal distribution of hours per week that music students practice. The mean of the values is 8 and the standard deviation of the values is 4. Accordingto the normal distribution model that corresponds to this population, whatpercentage of the students practice between 6 to 10 hours per week?

Sep 28th, 2015

Thank you for the opportunity to help you with your question!

For those who practice 10 hours per week:  Z = (10 - 8) / 4 = 2/4 = 0.5

For those who practice 6 hours per week:  Z = (6 - 8) / 4 = -2/4 = -0.5

P(-0.5<Z<0.5) = 69.1% - 30.9% = 38.2%

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Sep 28th, 2015

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