Question

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the...

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 23 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.4 hours.

Use the Empirical Rule to answer the following questions.

a) 68% of the students spend between hours and hours on Statistics each week.

b) 95% of the students spend between hours and hours on Statistics each week.

c) 99.7% of the students spend between hours and hours on Statistics each week.

Math   Statistics-And-Probability   
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Answer #1

Given :-

Mean () = 14

Standard deviation () = 3.4

Using Empirical rule.

a)  68% of the students spend between hours and hours on Statistics each week is

= 14 - 3.4 = 10.6

= 14 + 3.4 = 17.4

b) 95% of the students spend between hours and hours on Statistics each week is

= 14 - (2*3.4) = 7.2

= 14 + (2*3.4) = 20.8

c) 99.7% of the students spend between hours and hours on Statistics each week is

= 14 - (3*3.4) = 3.8

= 14 + (3*3.4) = 24.2

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