3 Use formal 8 steps hypothesis test to find out if the meth

3- Use formal 8 steps hypothesis test to find out if the method that you are using to find the content of dioxin is still valid. Given that you have used a standard reference having a dioxin content to be exactly 1.600 pg WHO-TEQ/g oil. And you have done four repeats of the method and obtained the following results: 1.595, 1.597, 1.590, and 1.599 pg WHO-TEQ/g oil. REMARK: all steps of the hypothesis test should be explained

Solution

3.

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   1.6  
Ha:    u   =/   1.6  
              
As we can see, this is a    two   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    3          
tcrit =    +/-   3.182446305      
              
Getting the test statistic, as              
              
X = sample mean =    1.59525          
uo = hypothesized mean =    1.6          
n = sample size =    4          
s = standard deviation =    0.00386221          
              
Thus, t = (X - uo) * sqrt(n) / s =    -2.459731556          
              
Also, the p value is              
              
p =    0.090889223          
              
As |t| < 3.182, and P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.          

Thus, the mean dioxin content is still 1600 pg WHO-TEQ/g oil. [CONCLUSION]