find the number z such that the proportion of observations are less than z in a standard normal distribution is 0.8

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the Z score related to that proportion.

All things consdiered, this is a first class post

To find the number z such that the proportion of observations are less than z in a standard normal distribution is 0.8, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, locate the closest value to 0.8 and find the corresponding z-score. The closest value to 0.8 in the table is 0.7995, which is associated with the z-score approximately equal to 0.84.

Therefore, the number z such that the proportion of observations are less than z in a standard normal distribution is approximately 0.84.

To find the number "z" such that the proportion of observations less than "z" in a standard normal distribution is 0.8, we need to use a standard normal distribution table or a statistical calculator.

Here's how you can find it using a standard normal distribution table:

1. Look for the closest value in the table to 0.8. In this case, the closest value is 0.7995.

2. Identify the corresponding "z" value from the table. In this case, the corresponding "z" value is approximately 0.84.

So, the number "z" such that the proportion of observations less than "z" in a standard normal distribution is 0.8 is approximately 0.84.