Find the proportion of heights that are within 1 standard deviation of the sample mean and also the proportion that are within 2
standard deviations of the sample mean. use the unrounded values for the mean and standard deviation when doing this calculation. give your answers as decimals to 2 decimal places.
For a normal distribution <em>only, </em>for a population, not for particular sample.
proportion between 1 standard deviation, independent of μ and σ , is given by: P(Z<1)-P(Z<-1) =0.841345-0.158655=0.682689 =0.68 (to two places of decimal)
proportion between 2 standard deviations, independent of μ and σ , is given by: P(Z<2)-P(Z<-2) =0.977250-0.022750=0.954500=0.95 (to two places of decimal)
