Answer
Between 39.13 s and 58.27 s
Explanation
Chebyshev's theorem states that the proportion of data that falls within k standard deviations of the mean is given as
Proportion = 1 - (1/k²)
For a proportion of 88.9%, we solve for k
0.889 = 1 - (1/k²)
(1/k²) = 1 - 0.889 = 0.111
k² = (1/0.111) = 9
Take the square root of both sides
k = 3
So, we need 3 standard deviations below the mean and above the mean
Mean = 48.7 s
Standard deviation = 3.19 s
Mean - 3(standard deviation) = 48.7 - 3(3.19) = 48.7 - 9.57 = 39.13
Mean + 3(standard deviation) = 48.7 + 3(3.19) = 48.7 + 9.57 = 58.27
Hope this Helps!!!
