Problem

Use the table below to find the percentage of data items in a normal distribution that lie between $z=-0.9$ and $z=0.9$. Click the icon to view the table. The percentage of data items in a normal distribution that lie between $z=-0.9$ and $z=0.9$ is $\%$.

Solution

Step 1 :Find the area to the left of z=0.9 using the standard normal distribution table: 0.8159

Step 2 :Find the area to the left of z=-0.9 using the standard normal distribution table: 0.1841

Step 3 :Subtract the area to the left of z=-0.9 from the area to the left of z=0.9: 0.8159 - 0.1841 = 0.6318

Step 4 :Convert the result to a percentage: 0.6318 * 100 = 63.18%

Step 5 :The percentage of data items in a normal distribution that lie between z=-0.9 and z=0.9 is \(\boxed{63.18\%}\)

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Source: https://solvelyapp.com/problems/9eQur5Srfm/

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