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# Critical Values

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Do one of the following as appropriate:
a) Find the critical value t &#61621;&#61487;&#61490;
b) Find the critical value z&#61537;&#61487;&#61490;
c) State that neither the normal nor the t distribution applies.
Problem: 90%; n= 12; &#61555; is 24; population appears to be very skewed.

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https://brainmass.com/statistics/quantative-analysis-of-data/critical-values-21727

#### 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&#61537;&#61487;&#61490;
c) State that neither the normal nor the t distribution applies.
Problem: 90%; n= 12; &#61555; is 24; population appears to be very skewed.

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