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Question

The A.C. Nielsen Company reported that the mean weekly television viewing time for children aged 2-11 is 24.50 hours. Assume that the weekly television viewing times of such children are normally distributed with a standard deviation of 6.23 hours, and apply the 68.26-95.44-99.74 (Empirical Rule) rule to fill in the blanks:

 

a. 68.26% of all such children watch between ______ and ______ hours of TV per week.
b. 95.44% of all such children watch between ______ and ______ hours of TV per week.
c. 99.74% of all such children watch between ______ and ______ hours of TV per week.

Answer 1

The empirical rule says, for example, that 68.26% will be within one standard deviation of the mean, so it would be 24.50-6.23=18.27 hrs and 24.50+6.23=30.73 hrs.  The others would be 2 and 3 deviations, calculated similarly.