Using the z-table, find the proportion under the curve that lies between each of
ID: 3046212 • Letter: U
Question
Using the z-table, find the proportion under the curve that lies between each of the following & graph the area under the curve represented by each of the scenarios (a-e).
a. The mean & z = 1.96
b. The mean & z = -0.83
c. z = -1.5 & z = 1.5
d. z = -0.3 & z = -0.1
e. z = -1.65 & z = 1.45
Table B.1 Areas Beneath the Normal Curve z-score Area z-score Area zscoreArea z-score Area -score Area Area z-scOre 2-score z-scoreArea the Mean and the Z-score 0.00 0.40 the Mean and the the Mean and the the Mean and the Mean and the the Mean and the the Mean and the the Mean and the 0.50 49.87 49.98 43.45 2.01 49.40 49.98 0.02 0.80 0.52 34.61 34.85 35.08 35.31 43.57 47.83 49.41 3.0249.8 .03 49.98 49.88 49.98 0.54 20.54 0.55 0.5 49.A5 49.46 49.48 43.82 2.04 49.88 49.98 0.05 20.88 1.05 49.89 49.98 21.23 44.06 2.06 48.03 48.08 1.08 35.99 1.58 44.29 2.08 48.12 1.59 44.41 2.09 48.17 1.0 49.89 49.98 49.49 49.98 0.57 0.58 0.59 22.24 1.09 | 36.21 0.07 2.79 35.77 49.90 3.58 49.98 0.08 2.59 49.90 49.98 36.43 44.52 49.53 49.90 49.98 3.98 0.6022.57 4.38 0.61 / 22.91 1.11 | 36.65 1.61 | 44.63 2.11 | 48.26 2.61 49.55 49.91 3.61 0.12 4.78 0.62 23.24 1,12 | 36.86 1.62 | 44.74 2.12 48 30 2.62 4956 312 491 s 0.13 2.63 | 49.57 3.13 | 49.91 3.63 | 49.98 64 49.59 3.14 | 49.92 3.64 | 49.98 37.08 1.63 | 44.84 2.13 48.34 5.17 23.57 5.96 0.65 24.22 1.15 37491.65 45.05 2.15 48.42 2.65 49,603.15 99 3.65 49.9 6.36 I 0.66 24.54 | 1.16 | 37.7 1.66 | 45.15 2.16 | 48.46 2.66 49.61 3.16149.92 13.66 149 5.57 0.64 | 23.89 1.14 | 37.29 1.64 | 44.95 2.14 | 48.38 49.98 0.15 0.16 1.67 | 45.25 | 2.17 | 48.50 2.67 | 49.62 3.17 | 49.92 3.67 49.98 49.98 3.18 | 49.93 3.68 | 1.68 45.35 2.1848.54 2.68 49.63 49.64 675 167 | 24.86 1.17 | 37.90 3.19 49.93 3.6949.98 1.70 | 45.54 2.20 | 48.61 2.70 | 49.65 | 3.20 | 49.93 3.70 | 49.99 2.72 49.67 3.22 49.943.72 49.99 7.14 0.68 25.171.18 38.1 0.69 25.49 1.19 38.30 1.69 45.452.19 48.57 2.69 7.53 0.70 25.80 26.11 1.2038.49 38.69 38.88 45.64 2.21 | 48.64 2.71 | 49.66 | 321 | 49.93 | 3.71 49.99 0.20 0.21 0.22 0.23 1.21 8.32 2.22 3.23 0.7226.42 26.73 27 04 2.2 49.69 48.75Explanation / Answer
a. The mean & z = 1.96
47.50%
b. The mean & z = -0.83
29.67%
c. z = -1.5 & z = 1.5
43.32*2=86.64%
d. z = -0.3 & z = -0.1
= 11.79-3.98=7.81%
e. z = -1.65 & z = 1.45
47.5%+42.65%=90.15%
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