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Z-Test
Prof. Fisher has given a method of testing the significance of the correlation coefficient in small samples. According to this method the coefficient of correlation is transformed into Z and hence the name transformation. The statistic Z given by prof. Fisher is used to test:
a.Whether an observed value of r differs significantly from some hypothetical value or.
b.Whether two samples values of r differ significantly,
For testing whether r differs significantly from zero the t- test is preferable.
In order to apply the test we have to calculate Z and by applying Fisher transformation and then calculate the value of the standard normal variate.
Z- ε / 1/√n-3
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Properties of Normal Distribution a.It is a continuous probability distribution having parameters m and . b.The normal curve is perfectly symmetrical about the mean (
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 i
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solve the following linear programming problem using simplex method maximize z=3x1+2x2 subject to the constraints: x1+x2 x1+x2 x1,x2>=0
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Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
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