Example: Consider the data set (653, 680, 677, 436, 679) with . (A small data set is used here to facilitate a quick arithmetic calculation.) The average and the standard deviation is 106.2. The values for the data set are (0.26, 0.52, 0.49, 1.78, 0.51) respectively. The acceptable values of are those for which , i.e. . Hence the value of for which is unacceptable and can be rejected. With we recompute as 672.2 and as 12.89.
Figure 1.16: Definition of in Student's- Distribution (Table A1).
. (A small data set is used here to facilitate a quick arithmetic calculation.) The average 
and the standard deviation is 106.2. The 
values 
for the data set are (0.26, 0.52, 0.49, 1.78, 0.51) respectively. The acceptable values of 
, i.e. 
. Hence the value of 
for which 
is unacceptable and can be rejected. With 
we recompute 
as 672.2 and 
as 12.89. 
in Student's- 
Distribution (Table A1). 
