This document provides a chart and formulas to convert between data values (x) and standard scores (z) for a normal distribution with a mean of 20 and standard deviation of 4. It asks the reader to use the information to: label and shade the desired regions on the normal curve to find the probabilities of a) P(x>16), b) P(12>x), and c) P(12<x<16).
Use the following chart and formulas as a reference to answer questio.pdf
1. Use the following chart and formulas as a reference to answer questions 21 and 22. The values
of z and x are related by the formulas z=(x)x=+z 21. (6 pts) A certain distribution has a
population mean of 20 and standard devia the formulas above, fill in this table to convert
between the data values, x, and the standard scores, z.
22. The same distribution from question 21 has a mean of 20 and standard deviation of 4 . For
parts a,b, and c, - Label and shade the desired region of the normal curve - Find the probability
using the chart above a) ( 3 pts) Find P(x>16). b) (3 pts) Find P(12>x). c) 4 pts) Find P(12