Suppose we want to choose a large enough sample so that the sample mean is within 1

Question:

Suppose we want to choose a large enough sample so that the sample mean is within 1 unit of the population mean 99% of the time. What is the minimum sample size to achieve this goal?

Suppose we have a population with a normal distribution with mean = 50 and standard deviation = 10.

We draw a sample of 13 observations from this distribution.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...