In Chapter 9, the concept of parameter estimation will be discussed at length. Suppose X is a random variable with mean and variance 2

In Chapter 9, the concept of parameter estimation will be discussed at length. Suppose X is a random variable with mean μ and variance σ2 = 1.0.

Suppose also that a random sample of size n is to be taken and ¯x is to be used as an estimate of μ. When the data are taken and the sample mean is measured, we wish it to be within 0.05 unit of the true mean with probability 0.99. That is, we want there to be a good chance that the computed ¯x from the sample is “very close” to the population mean (wherever it is!), so we wish P(|X¯ − μ| > 0.05) = 0.99.

What sample size is required?