The average life of Canadian women is 73.75 years and the standard deviation of the women's life expectancy in Canada is 6.5 years. Based on Chebyshev's inequality determine the upper and lower bounds on the average life expectancy of the Canadian women such that at least 90% of all 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 inequality states that for any k > 1, at least (1 - 1/k^2) of the data lies within k standard deviations of the mean. For 90%, k = sqrt(10) ≈ 3.16. The bounds are 73.75 ± 3.16*6.5, which calculates to [53.20, 94.30].

The Average Life of Canadian Women Is 73