Answer
a. i) 84% ii) 75% b. interval = 10 to 58 minutes
Work Step by Step
$a. i)34±k(8) = [14, 54], 34-8k = 14, 20/8 = k k = 2.5 $
$1-\frac{1}{2.5^2} = (1-0.16)\times100=84% $
ii) $34±k(8) = [18, 50], 34+8k = 50, 16/8 = k, k = 2 $
$1-\frac{1}{2^2} = (1-0.25)\times100=75% $
b. $1-\frac{1}{k^2} = 0.89, 1/k^2=0.11 k = 3.015\approx 3$
$Interval = [34-(8)3, 34+8(3)]$
$=[10, 58]$
