Use the table below to find the percentage of data items in a normal distribution that lie between \( z = 0.6 \) and \( z = 2.9 \).| z-score | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 ||---------|------|------|------|------|------|------|------|------|------|------|| Percentile | 53.98 | 57.93 | 61.79 | 65.54 | 69.15 | 72.57 | 75.80 | 78.81 | 81.59 | 84.13 || z-score | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 | 2.0 ||---------|------|------|------|------|------|------|------|------|------|------|| Percentile | 86.43 | 88.49 | 90.32 | 91.92 | 93.24 | 94.52 | 95.54 | 96.41 | 97.13 | 97.72 || z-score | 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.6 | 2.7 | 2.8 | 2.9 | 3.0 ||---------|------|------|------|------|------|------|------|------|------|------|| Percentile | 98.21 | 98.61 | 98.93 | 99.18 | 99.38 | 99.53 | 99.65 | 99.74 | 99.81 | 99.87 |The percentage of data items in a normal distribution that lie between \( z = 0.6 \) and \( z = 2.9 \) is \(\_ \%\).To find

The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.From the given table it is obtained that, P(z < 0.6) = 72.57% and P(z < 2.9) = 99.81%. Hence, the percentage of data items in a normal distribution that lie between z = 0.6 and z = 2.9 is, P(0.6 < z < 2.9) = P(z < 2.9) – P(z < 0.6) = 99.81% – 72.57% = 27.24%.

Math

Statistics

Use the table below to find the percentage of data items in a normal distribution that lie between z = 0.6 and z = 2.9. 0.5 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.5984.13 1.5 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 z-score 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0 Z-score 1.1 1.2 1.3 1.4 1.6 1.7 1.8 1.9 2.0 z-score 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74|99.81 99.87 The percentage of data items in a normal distribution that lie between z = 0.6 and z = 2.9 is %.

Use the table below to find the percentage of data items in a normal distribution that lie between z = 0.6 and z = 2.9. 0.5 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.5984.13 1.5 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 z-score 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1.0 Z-score 1.1 1.2 1.3 1.4 1.6 1.7 1.8 1.9 2.0 z-score 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74|99.81 99.87 The percentage of data items in a normal distribution that lie between z = 0.6 and z = 2.9 is %.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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