contestada

Which of the following groups of terms can be used interchangeably when working with normal distributions?
A) z-scores, probability, and relative frequencies
B) areas, z-scores, and probability
C) areas, z-score, and relative frequencies
D) areas, probability, and relative frequencies

Respuesta :

MrGumby

Answer:

The correct answer is D) areas, probability, and relative frequencies

Step-by-step explanation:

This is because each of these terms refers to an amount of space surrounding the mean on the normal distribution curve. Each of them let's us know how likely a spot is to have a value within it.

The z-score would not fit this as it identifies the value and how far away a single spot on the graph would be.

In the normal distribution, we work with:

B) areas, z-scores, and probability.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

  • It measures how many standard deviations the measure is from the mean.
  • After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, also the probability of finding a value lower than X or even the area under the normal curve to the left of X.

Thus, from this summary of the normal distribution, the topics are z-score, probabilities and area, thus, option b is correct.

A similar problem is given at https://brainly.com/question/22940416