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# Find the Critical Values and Determine the Appropriate Distribution

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Do one of the following as appropriate:
a) Find the critical value t (alpha/2)
b) Find the critical value z (alpha/2)
c) State that neither the normal nor the t distribution applies.
Problem: 95%; n= 40; sigma is unknown; population appears to be skewed.

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https://brainmass.com/statistics/normal-distribution/find-the-critical-values-and-determine-the-appropriate-distribution-21722

#### Solution Preview

a) Find the critical value t(alpha/2)

If u look up 5% on the two tail with 39 degrees of freedom=40-1,
you get: 2.02.

This mean Probability(-2.02<=t<=2.02)=0.95

b) Find the critical value z(alpha/2)

5% critical value ...

#### Solution Summary

The solution is comprised of an explanation for finding critical values for t and z distributions and identifies why neither distribution may be appropriate.

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