Independent random samples of sizes 400 are taken from each of two populations having equal means and the standard deviations 1 20 and 2 30 Using Chebyshevs theorem and the result of Exercise 8 2, what can we assert with a probability of at least 0 99 about the value we will get for 1 2 (By indepen...

Independent random samples of sizes 400 are taken from each of two populations having equal means and

Question:

Independent random samples of sizes 400 are taken from each of two populations having equal means and the standard deviations σ1 = 20 and σ2 = 30. Using Chebyshev’s theorem and the result of Exercise 8.2, what can we assert with a probability of at least 0.99 about the value we will get for 1 – 2? (By “ independent” we mean that the samples satisfy the conditions of Exercise 8.2.)