A population of values has a normal distribution with μ = 12.1 and σ = 30.3. You intend to draw a random sample of size n=23.
Find the probability that a single randomly selected value is greater than -7.5.
P(X > -7.5) =
Find the probability that a sample of size n = 23 is randomly selected with a mean greater than -7.5.
P(M > -7.5) =
Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.