Repeat Exercise 9.61 with samples of size 100. In exercise 9.61 Independent random samples of 10 observations

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Repeat Exercise 9.61 with samples of size 100.

In exercise 9.61

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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