Question

1.A population of values has a normal distribution with μ=213.2 and σ=86.8. You intend to draw a random sample of size n=15.

Find P₇₃, which is the score separating the bottom 73% scores from the top 27% scores.
P₇₃ (for single values) =

Find P₇₃, which is the mean separating the bottom 73% means from the top 27% means.
P₇₃ (for sample means) =

Enter your answers as numbers accurate to 1 decimal place.

2.A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 25 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 25 weeks and that the population standard deviation is 2 weeks. Suppose you would like to select a random sample of 57 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is greater than 25.
P(X > 25) = (Enter your answers as numbers accurate to 4 decimal places.)

Find the probability that a sample of size n=57

is randomly selected with a mean greater than 25.
P(M > 25) = (Enter your answers as numbers accurate to 4 decimal places.)

Answer 1