The average life of Canadian women is 73.75 years,and the standard deviation of the life expectancy of Canadian women is 6.5 years.Based on Chebyshev's Theorem,determine the upper and lower bounds on the average life expectancy of Canadian women such that at least 90 percent of the population is included.
A)[12.09 135.41]
B)[8.75 138.75]
C)[53.20 94.30]
D)[66.38 81.13]
E)[67.25 80.25]

Question

Quizplus · Accepted Answer

Chebyshev's Theorem states that at least (1 - 1/k^2) of the data falls within k standard deviations of the mean. For 90%, k = √(1/0.1) ≈ 3.16. The bounds are 73.75 ± 3.16*6.5, which calculates to approximately [53.20, 94.30].

The Average Life of Canadian Women Is 73