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

1 −= .90= .1 k² == 10; k == 3.162 lower bound = 73.75 − (3.162)(6.5) = 53.2 upper bound = 73.75 + (3.162)(6.5) = 94.3

The Average Life of Canadian Women Is 73