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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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Solve by simplex method Maximize Z = 5x 1 + 3x 2 Subject to 3x 1 + 5x 2 ≤ 15 5x 1 + 2x 2 ≤ 10 & x 1 ≥ 0, x 2 ≥ 0 [Ans. Max Z = 235/19
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