get marks between 60 and 70. If this expert is certain this proportion will be less that 0.45 and more than 0.25, this would imply she is certain $\sigma$ is between $6$ and $15$. This is illustrated in Figure \[fig:shaded-proportion\].

(0,0) rectangle (354.12,252.94);

( 49.20, 61.20) rectangle (151.86,203.75);

( 53.00, 66.48) – ( 53.96, 66.48) – ( 54.92, 66.48) – ( 55.88, 66.48) – ( 56.84, 66.48) – ( 57.80, 66.48) – ( 58.76, 66.48) – ( 59.72, 66.48) – ( 60.68, 66.48) – ( 61.64, 66.48) – ( 62.60, 66.48) – ( 63.56, 66.48) – ( 64.52, 66.48) – ( 65.48, 66.48) – ( 66.44, 66.48) – ( 67.40, 66.48) – ( 68.37, 66.48) – ( 69.33, 66.49) – ( 70.29, 66.49) – ( 71.25, 66.50) – ( 72.21, 66.52) – ( 73.17, 66.55) – ( 74.13, 66.59) – ( 75.09, 66.67) – ( 76.05, 66.78) – ( 77.01, 66.95) – ( 77.97, 67.21) – ( 78.93, 67.59) – ( 79.89, 68.14) – ( 80.85, 68.91) – ( 81.81, 69.97) – ( 82.77, 71.40) – ( 83.73, 73.30) – ( 84.69, 75.77) – ( 85.65, 78.89) – ( 86.61, 82.78) – ( 87.57, 87.49) – ( 88.53, 93.07) – 