1. Consider the following scores comprising a population of size N = 14
2. Using a mean of 7.55 and a standard deviation of 1.86, convert the following values of X into z-scores:
A. X = 10.48, z =
B. X = 3.17, z =
C. X = 8.41, z =
D. X = 5.62, z =
3. Assuming a mean of 7.55 and a standard deviation of 1.86, what is the probability that:
A. p(X > 10.48)
B. p(X < 3.17)
C. p(X < 8.41)
D. p(X > 5.62)
4. Assuming a normal distribution, what values of z corresponds to the following percentiles?
PLEASE SHOW ALL STEPS REQUIRED TO SOLVE EACH PROBLEM.
The solution provides step by step method for the calculation of z-score and probability using the Z score. Formula for the calculation is also included.