# Find the Critical Values and Determine the Appropriate Distribution

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.

(See attachment for complete question and symbols that did not come through above)

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#### 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.

$2.49