James does not know any of the above information about delivery times. He resolves to take a sample of 100 delivery times. James will then calculate the mean of the 100 sampled delivery times (represented as X bar ) and use this as an estimate of the mean population delivery time µ (which he does not know, but you do, is 28 minutes).
- How to determine the mean and standard deviation of all the potential sample means?
- Also what is the chance James's estimate of µ will be greater than 30 minutes?