Question

find the Z score associated with the following tail probabilities:

1. .0250

Answer 1

If we consider the right tail.

Then we need to find the qunatile value such that area to the right side of is 0.0250

i.e.,

Then

we can find this this from the standard normal distribution. Here is the CDF if standard normal distrbution.

we have find these values in R

So

= 1.959964

Similarly if we consider the left tail then we need to find qunatile value such that area to the leftt side of is 0.0250

So

This is also finded in R

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