STATS - CHAPTER 5.1 - INTRODUCTION TO NORMAL DISTRIBUTIONS AND THE STANDARD NORMAL DISTRIBUTION

Question 1

In a normal​ distribution, which is​ greater, the mean or the​ median?

Accepted Answer

Neither, the mean and median are equal.

Question 2

Which of the following formulas is used to convert an x value into a z-score?

Accepted Answer

z = (x - μ)/δ

Question 3

If you draw two normal curves with the same mean but different standard deviations...what is different between the two?

Accepted Answer

A curve w/a larger S.D. is more spread out than the curve w/a smaller S.D.

Question 4

If a z-score is zero, which of the following is true?

Accepted Answer

The corresponding x-value is equal to the mean.

Question 5

Can the following graph show nominal distribution?

Accepted Answer

It cannot because it is skewed left.

Question 6

A _________ is used to describe a normal distribution with any mean and standard deviation.

Accepted Answer

normal distribution

Question 7

The standard deviation indicates how much a measurement deviates from the median.

Accepted Answer

False

Question 8

What is a statistical measurement of a score's relationship to the mean in a group of scores?

Accepted Answer

z-score

Question 9

Where do inflection points on a normal distribution​ occur?

Accepted Answer

μ - δ and μ +δ, μ

Question 10

What is a measure of how dispersed the data is in relation to the mean?

Accepted Answer

standard deviation

Question 11

The ___________ is used to describe one specific normal distribution ( μ = 0, δ = 1).

Accepted Answer

standard normal distribution

Question 12

To find the area to the right of​ z, find the area that corresponds to z in the standard normal table.

Accepted Answer

False

Question 13

If you draw two normal curves with the same mean but different standard deviations...what is similar between the two?

Accepted Answer

The two curves will have the same line of symmetry.

Question 14

What do the inflection points on a normal distribution​ represent?

Accepted Answer

The points where the curve changes between curving up & curving down.

Question 15

To find the area to the left of​ z, find the area that corresponds to z in the standard normal table.

Accepted Answer

True

Question 16

Can the following graph show nominal distribution?

Accepted Answer

It can't because the curve crosses the x-axis.

Question 17

In statistics, an "___________" refers to a point on a curve where the concavity changes.

Accepted Answer

inflection point

Question 18

What is the total area under the normal​ curve?

Accepted Answer

1

Question 19

What requirements are necessary for a normal probability distribution to be a standard normal probability​ distribution?

Accepted Answer

The mean & standard deviation have the values of μ equals μ=0 and δ = 1.

Question 20

The standard normal distribution is centered at zero.

Accepted Answer

True

Questions 20