A Calculus professor surveys her students to find out how many hours they spend studying each week. When she analyzes the data, she finds that the data is approximately normally distributed, the mean 10.5 hours, and the standard deviation is 2.71 hours. Use the Empirical Rule to answer the following questions about her students. a) 68% of the students spend between hours and hours studying each week. b) 95% of the students spend between hours and hours studying each week. c) 99.7% of the students spend between hours and hours studying each week.

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A Calculus professor surveys her students to find out how many hours they spend studying each week.
When she analyzes the data, she finds that the data is approximately normally distributed, the mean is
10.5 hours, and the standard deviation is 2.71 hours.
Use the Empirical Rule to answer the following questions about her students.
a) 68% of the students spend between
hours and
hours studying each week.
b) 95% of the students spend between
hours and
hours studying each week.
c) 99.7% of the students spend between
hours and
hours studying each week.
Transcribed Image Text:A Calculus professor surveys her students to find out how many hours they spend studying each week. When she analyzes the data, she finds that the data is approximately normally distributed, the mean is 10.5 hours, and the standard deviation is 2.71 hours. Use the Empirical Rule to answer the following questions about her students. a) 68% of the students spend between hours and hours studying each week. b) 95% of the students spend between hours and hours studying each week. c) 99.7% of the students spend between hours and hours studying each week.
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