Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard
Posted: Wed May 11, 2022 12:04 pm
Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviation. Then find the percentage of students who score below 605, if the standard deviation is 70. Click the icon to view a table of z-scores and percentiles. O A. 70% B. 6.68% C. 56.68% D. 93.32%
z-Score Percentile z-Scores and Percentiles Percentile z-Score Percentile z-Score 0.003 - 1.0 15.87 0.0 0.02 -0.95 1711 0.05 z-Score Percentil 1.1 86.43 -4.0 50.00 -3.5 51.99 1.2 88.49 90.32 -3.0 0.13 -0.90 18.41 0.10 53.98 1.3 -2.9 0.19 -0.85 19.77 0.15 55.96 1.4 91.92 0.26 -0.80 21.19 1.5 0.20 0.25 -0.75 1.6 -2.8 -2.7 -2.6 -2.5 0.35 0.47 0.62 22.66 24.20 5793 59.87 61.79 63.68 93.32 94.52 95.54 0.30 1.7 -0.70 -0.65 25.78 0.35 1.8 96.41 -2.4 0.82 -0.60 2743 0.40 65.54 1.9 9713 -2.3 1.07 -0.55 29.12 0.45 6736 2.0 97.72 -2.2 1.39 -0.50 30.85 0.50 69.15 2.1 98.21 98.61 -2.1 1.79 -0.45 32.64 0.55 70.88 2.2 -2.0 2.28 -0.40 34.46 0.60 72.57 2.3 98.93 99.18 -1.9 2.87 -0.35 36.32 0.65 74.22 2.4 -1.8 3.59 -0.30 38.21 0.70 75.80 2.5 99.38 4.46 0.75 2.6 99.53 -1.7 -1.6 -0.25 -0.20 40.13 42.07 77.34 78.81 5.48 0.80 2.7 99.65 -1.5 6.68 -0.15 44.04 0.85 80.23 2.8 99.74 -1.4 8.08 -0.10 46.02 0.90 81.59 2.9 99.81
z-Score Percentile z-Scores and Percentiles Percentile z-Score Percentile z-Score 0.003 - 1.0 15.87 0.0 0.02 -0.95 1711 0.05 z-Score Percentil 1.1 86.43 -4.0 50.00 -3.5 51.99 1.2 88.49 90.32 -3.0 0.13 -0.90 18.41 0.10 53.98 1.3 -2.9 0.19 -0.85 19.77 0.15 55.96 1.4 91.92 0.26 -0.80 21.19 1.5 0.20 0.25 -0.75 1.6 -2.8 -2.7 -2.6 -2.5 0.35 0.47 0.62 22.66 24.20 5793 59.87 61.79 63.68 93.32 94.52 95.54 0.30 1.7 -0.70 -0.65 25.78 0.35 1.8 96.41 -2.4 0.82 -0.60 2743 0.40 65.54 1.9 9713 -2.3 1.07 -0.55 29.12 0.45 6736 2.0 97.72 -2.2 1.39 -0.50 30.85 0.50 69.15 2.1 98.21 98.61 -2.1 1.79 -0.45 32.64 0.55 70.88 2.2 -2.0 2.28 -0.40 34.46 0.60 72.57 2.3 98.93 99.18 -1.9 2.87 -0.35 36.32 0.65 74.22 2.4 -1.8 3.59 -0.30 38.21 0.70 75.80 2.5 99.38 4.46 0.75 2.6 99.53 -1.7 -1.6 -0.25 -0.20 40.13 42.07 77.34 78.81 5.48 0.80 2.7 99.65 -1.5 6.68 -0.15 44.04 0.85 80.23 2.8 99.74 -1.4 8.08 -0.10 46.02 0.90 81.59 2.9 99.81