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Find P value given the hypothesis and the test statistic and the degrees of freedom using the t-tabl

Statistics
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For the following scenario, using the t table, what is the p-value?
Ho: μ1 - μ2 > 0        
Ha: μ1 - μ2 < 0        
                                    
Test Statistic =  -1.85

deg of freedom = 12

Apr 10th, 2015

Here Ha: mue1 -mue 2 <0. Means mue 1 < mue 2

Therefore we are dealing with single tail probability.

Now test statistic with 12 degrees of freedom is -1.85.    According to t Table  1. It  lies between .05 and .025 p value.  By Interpolation  we get p =0.037 for single tail.

Answer: p- value  0.037

Please note that the p- value is not an exact value because t table was used for interpolation.


Apr 10th, 2015

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Niru

Apr 10th, 2015

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