The average life of Canadian women is 73.75 years,and the standard deviation of 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 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 inequality states that for any k > 1, at least (1 - 1/k^2) of the data lies within k standard deviations from the mean. For 90%, k = √10 ≈ 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