Hemoglobin levels in 11-year-old boys vary according to a normal distribution with σ=1.2 g/dL.
a) How large a sample is needed to estimate µ with 95% confidence, so the margin of error is no greater than 0.5 g/dL?
b) How large a sample is needed to estimate µ with margin of error 0.5 g/dL with 99% confidence?