Asked Jan 22, 2020

Explain why the percentage of all possible observations of a normally distributed variable that lie within two standard deviations to either side of the mean equals the area under the standard normal curve between -2 and 2.


Expert Answer

Step 1

The x values delimiting the interval within two standard deviations from the mean are µ–2σ and µ+2σ.

The formula for z-score is,

Statistics homework question answer, step 1, image 1
Step 2
Statistics homework question answer, step 2, image 1

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