Q. 6.26 - Elementary Statistics

Question

For a normally distributed variable, what is the relationship between the percentage of all possible observations that lie to the right of 7 and the area under the associated normal curve to the right of 7? What if the variable is only approximately normally distributed? 

Step-by-Step Solution

Answer

The relationship between the percentage of all posible observations that lie to the right of 7 for a normally distributed variable and the area under associated normal curve to the right of 7 are equal.

If the distribution is approxiately normally distributed, then the relationship between the percentage of all possible distributions that lie to the right of 7 for a normally distributed variable and the area under associated normal curve to the right of 7 are approximately equal. 

Step 1. Given Information.

A normally distributed variable.

Step 2. Reason.

The relationship between the percentage of all posible observations that lie to the right of 7 for a normally distributed variable and the area under associated normal curve to the right of 7 are equal.

If the distribution is approxiately normally distributed, then the relationship between the percentage of all possible distributions that lie to the right of 7 for a normally distributed variable and the area under associated normal curve to the right of 7 are approximately equal.