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 only, 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)