Independent random samples of 10 observations each are drawn from normal populations. The parameters of these populations

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Independent random samples of 10 observations each are drawn from normal populations. The parameters of these populations are

Population 1: µ = 280, σ = 25

Population 2: µ = 270, σ = 30

Find the probability that the mean of sample 1 is greater than the mean of sample 2 by more than 25.


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