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List of top Mathematics Questions on Mean and Variance of Random variables asked in IIT JAM EN

It is given that the variance of a population is \(4\), but its mean \((\mu)\) is unknown. A sample of size \(25\) is drawn randomly from this population to test the null hypothesis \(H_0:\mu=4.8\). The sample elements are \(x_1,x_2,\ldots,x_{25}\) such that \(\sum_{i=1}^{25}x_i=150\) and \(\sum_{i=1}^{25}x_i^2=1116\). Based on the above information, the calculated value of \(t\)-statistic is (in integer).
  • IIT JAM EN - 2026
  • IIT JAM EN
  • Mathematics
  • Mean and Variance of Random variables
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