Chi square Test for the Population variance

When we want  to test that  a random  sample  has been  drawn  from  a normal  population having specified variance then X2 statistic  under  the null  hypothesis for the random  sample of n size  will be.

X2 =  ∑ (X- x¯) /  = ns2/

With (n-1)  = Degree  of freedom

where S2=  sample variance

X2= population variance

N= sample size

This value  of X2 will be compared with the table value at (n-1) degree of freedom at certain level of  significance for accepting or rejecting null hypothesis.