A population of values has a normal distribution with μ=121.9\displaystyle \mu={121.9} and σ=99.8\displaystyle \sigma={99.8}. You intend to draw a random sample of size n=175\displaystyle {n}={175}.

  1. Find P95, which is the score separating the bottom 95% scores from the top 5% scores.P95 (for single values) =

  2. Find P95, which is the mean separating the bottom 95% means from the top 5% means. P95 (for sample means) =

Round to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.