One sample of size N is randomly extracted from a Normal population with a standard deviation \sigma =3. Calculate the minimum value of N in order to have a probability lower than 1% to obtain a difference higher than 1 (in absolute value) between the sample mean and the population mean. (Answer is 49, however I am struggling in figuring out how to solve it)
Added by Jennifer J.
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We are given a normal population with a standard deviation of 3. We want to find the minimum sample size (N) such that the probability of the absolute difference between the sample mean and the population mean being greater than 1 is less than 1%. Show more…
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