Question

True or false? The value zc is a value from the standard normal distribution such that P(−zc < z < zc) = c.

Answer 1

Answer:

False

Step-by-step explanation:

The standard normal distribution is represented by P(-zc < z < zc) = c

From this, you see that -zc is less than the variable of interest z and z is less than zc.

The equation simply means that the probability that -zc is less than z and z is less than zc, is c.

The value zc is NOT a value from the above distribution. All values in the distribution are of the variable z. For example, z might be equal to 1, z might be equal to 6, but the variable of interest in the distribution is z, not zc.