DATA test 4

a continuous probability distribution is characterized by

a continuum of possible values

the mean of a probability distribution is a measure of

central location

the normal distribution is a

continuous distribution with two parameters

One reason for standardizing random variables is to measure variables with

different means and standard deviations on a single scale

the higher the value of the density of the function

the more likely the value x

If the value of the standard normal variable Z is positive, then the original score is where in relationship to the mean?

to the right of the mean

the total area under the normal distribution curve is equal to one

true

the standard deviation of a probability distribution is a measure of

variability of the distribution

which equation shows the process of standardizing?

z= (x-mean)/standard deviation

Given that Z is a standard normal variable P(-1<Z<1.5) is

.7745

the standard normal distribution has a mean and a standard deviation respectively equal to

0 and 1

if we plot a continuous probability distribution the total probability under the curve is

1

according to the empirical rule, how many observations lie within +/- 1 standard deviation from the mean

68%