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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.
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y pa
Maxz=3x1-2x2 St x1 -x2>_0, 3x1-x2 _0
ONE SAMPLE RUNS TEST A number of methods have been developed fro judging the randomness of samples on the basis of the order in which teh observations are taken. It is
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maximize z=3x1+2*2 subject to the constraints x1+x2=4 x1-x2=2 x1.x2=0
A paper mill products two grade of paper viz., X & Y. Because of raw material restriction, it cannot produce more than 400 tons of grade X paper & 300 tons of grade Y paper in a we
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. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper
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