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Abstract:
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Given two samples drawn from two normal populations, we wish to test if two populations are identical. The traditional test of the equality of two means requires the assumption of the equality of two variances. But the variances that are assumed equal are less pragmatic to be equal in real life. Since a normal distribution is characterized by two parameters mean and variance, the test of identical normal distributions might be carried out using two means and variances, simultaneously. As such, several tests have been attempted incorporating means and variances, simultaneously. The power of the underlying tests will be obtained using a Monte Carlo simulation from two populations.
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