# Critical Values

Do one of the following as appropriate:

a) Find the critical value t 

b) Find the critical value z

c) State that neither the normal nor the t distribution applies.

Problem: 90%; n= 12;  is 24; population appears to be very skewed.

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

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#### Solution Preview

Do one of the following as appropriate:

<br>

<br>a) Find the critical value t alpha/2

<br>

<br>just as in previous problem

<br>df= 11 = 12-1 and critical t=1.796

<br>

<br>b) Find the critical value z alpha/2

<br>

<br>critical z=1.645.

<br>

<br>c) State that neither the normal nor the t distribution applies.

<br>

<br>//cf for previous problem 21722.Normal distribution does not apply since sample size is small.n=12. If the sample size is larger >30 then normal distribution can be used to approximate t distribution. This is the case for the previous problem.posting 21722.Normal distribution also does not apply even for large samples if data is significantly skewed.Then u have to use t distribution.You can determine this significance by doing a skewness test at:

<br>http://www.wessa.net/skewkurt.wasp//

<br>

<br>answer here is neither of these applies because sample size is small ...

#### Solution Summary

Do one of the following as appropriate:

a) Find the critical value t a/2

b) Find the critical value z

c) State that neither the normal nor the t distribution applies.

Problem: 90%; n= 12;  is 24; population appears to be very skewed.