Question

1) A population of values has a normal distribution with μ=224.1μ=224.1 and σ=63.8σ=63.8. You intend to draw a random sample of size n=58n=58.

1. Find P₂, which is the score separating the bottom 2% scores from the top 98% scores.P₂ (for single values) =
   
2. Find P₂, which is the mean separating the bottom 2% means from the top 98% means. P₂ (for sample means)

2)

A population of values has a normal distribution with μ=15.8μ=15.8 and σ=61.7σ=61.7. You intend to draw a random sample of size n=149n=149.

1. Find the probability that a single randomly selected value is between 17.3 and 19.8.
   P(17.3 < X < 19.8) = Round to 4 decimal places.
   
2. Find the probability that the sample mean is between 17.3 and 19.8.
   P(17.3 < ¯¯¯XX¯ < 19.8) = Round to 4 decimal places.

Answer 1