Stats

The area under the normal curve to the right of mu equals

1/2

A study was conducted that resulted in the following relative frequency histogram. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.

The histogram is not bell-shaped, so a normal distribution cannot be used as a model for the variable

The points at x equals​_______ and x equals​_______ are the inflection points on the normal curve.

The points are x equals mu - sigma and x equals mu + sigma.

The normal curve is symmetric about its​ mean, mu.

The statement is true. The normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ Therefore, the normal curve is symmetric about the​ mean, mu.

The notation z Subscript alpha is the​ z-score that the area under the standard normal curve to the right of z Subscript alpha is

a

a graph that plots observed data versus normal scores

normal probability plot

A normal score is the expected​ z-score of a data​ value, assuming the distribution of the random variable is normal. Is this statement true or​ false?

true