A Dietitian hopes to lower a persons Cholestrol using a spec

A Dietitian hopes to lower a person\'s Cholestrol using a special diet supplement. In a paired experiment six subjects were pretested, and then were placed on thediet for two weeks. Their cholesterol levels were checked the two week period with the following results. The following is the summary of the data: n = 6, d = 16.67, Sd = 25.39 Using alpha = 0.01, can the dietitian conclude that the special diet supplement is beneficial in reducing the average cholesterol level?

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   ud   <=   0  
Ha:    ud   >   0  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    5          
tcrit =    +   3.364929999      
              
Getting the test statistic, as              
              
dbar = sample mean =    16.67          
uo = hypothesized mean =    0          
n = sample size =    6          
s = standard deviation =    25.39          
              
Thus, t = (dbar - uo) * sqrt(n) / s =    1.608231351          
              
Also, the p value is              
              
p =    0.084348366          
              
As t < 3.3649, and P > 0.01, we   FAIL TO REJECT THE NULL HYPOTHESIS.          

Thus, there is no significant evidence that the special diet supplement is beneficial in reducing the average cholesterol level. [CONCLUSION]