A population of values has a normal distribution with $\displaystyle \mu={43.9}$ and $\displaystyle \sigma={93.1}$. You intend to draw a random sample of size $\displaystyle {n}={214}$.

Find P₂₃, which is the score separating the bottom 23% scores from the top 77% scores.
P₂₃ (for single values) =

Find P₂₃, which is the mean separating the bottom 23% means from the top 77% means.
P₂₃ (for sample means) =

Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.