Suppose X is the mean of 100 observations from a population with mean and variance 2 9 Find limits between which X will lie with probability at least 90 Use both Chebychev 's Inequality and the Central Limit Theorem, and comment on each ...

We know that 2 X 9100 Use Chebyshevs Inequality to get P 3k1 ...

Suppose X- is the mean of 100 observations from a population with mean and variance 2

Question:

Suppose X- is the mean of 100 observations from a population with mean μ and variance σ2 = 9. Find limits between which X - μ will lie with probability at least .90. Use both Chebychev's Inequality and the Central Limit Theorem, and comment on each.