Question 1

For a population with a standard deviation of σ = 10,what is the z-score corresponding to a score that is 5 points below the mean?

Accepted Answer

A) z = 0.50 
B) z = 1.00 
C) z = -0.50 
D) z = -1.00 
A) z = 0.50 
B) z = 1.00 
C) z = -0.50 
D) z = -1.00 C

Question 2

In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was _____.

Accepted Answer

A) a little above average 
B) far above average 
C) above average, but it is impossible to describe how much above average 
D) There is not enough information to compare last year with the average. 
A) a little above average 
B) far above average 
C) above average, but it is impossible to describe how much above average 
D) There is not enough information to compare last year with the average. B

Question 3

Describe what happens to the mean,the standard deviation,and the shape of a distribution when all of the scores are transformed into z-scores.

Accepted Answer

When an entire distribution is transformed into z-scores,the resulting distribution will have a mean of zero,a standard deviation of one,and the same shape as the original distribution.

Question 4

A sample of n = 20 scores is transformed into z-scores.What is the value of SS,the sum of squared deviations,for the set of 20 z-scores?

Accepted Answer

A) 0 
B) 19 
C) 20 
D) Cannot be determined without more information 
A) 0 
B) 19 
C) 20 
D) Cannot be determined without more information

Question 5

A population distribution has σ = 6.What position in this distribution is identified by a z-score of z = +2.00?

Accepted Answer

A) 2 points above the mean 
B) 2 points below the mean 
C) 12 points above the mean 
D) 12 points below the mean 
A) 2 points above the mean 
B) 2 points below the mean 
C) 12 points above the mean 
D) 12 points below the mean

Question 6

For a sample with a standard deviation of s = 6,a z-score of z = -1.50 corresponds to a location that is 9 points above the mean.

Accepted Answer

A) True 
 B)False

Question 7

A sample with M = 85 and s = 12 is transformed into z-scores.After the transformation,what are the values for the mean and standard deviation for the sample of z-scores?

Accepted Answer

A) M = 85 and s = 12 
B) M = 0 and s = 12 
C) M = 85 and s = 1 
D) M = 0 and s = 1 
A) M = 85 and s = 12 
B) M = 0 and s = 12 
C) M = 85 and s = 1 
D) M = 0 and s = 1

Question 8

For a population with μ = 50 and σ = 10,a score of X = 45 corresponds to z = +0.50.

Accepted Answer

A) True 
 B)False

Question 9

For any distribution of scores,the location identified by z = +1 and the location identified by z = -1 are exactly the same distance from the mean.

Accepted Answer

A) True 
 B)False

Question 10

For a sample with a mean of M = 76,a score of X = 72 corresponds to z = -0.50.The sample standard deviation is s = 8.

Accepted Answer

A) True 
 B)False

Question 11

A population of scores has µ = 44.In this population,a score of X = 40 corresponds to z = -0.50.What is the population standard deviation?

Accepted Answer

A) 2 
B) 4 
C) 8 
D) -8 
A) 2 
B) 4 
C) 8 
D) -8

Question 12

If an entire population with μ = 60 and σ = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of ___ and a standard deviation of ___.

Accepted Answer

A) 0; 1 
B) 60; 1 
C) 0; 8 
D) 60; 8 (unchanged) 
A) 0; 1 
B) 60; 1 
C) 0; 8 
D) 60; 8 (unchanged)

Question 13

For a sample with M = 38 and σ = 12,find the X value that corresponds to each of the following z-scores: -0.25,-1.50,0.50,2.00

Accepted Answer

z = -0.25 X = 35
z =

Question 14

A positive z-score always corresponds to a score that is greater than the mean.

Accepted Answer

A) True 
 B)False

Question 15

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?

Accepted Answer

A) When the population mean is much larger than 15 
B) When the population standard deviation is much larger than 15 
C) When the population mean is much smaller than 15 
D) When the population standard deviation is much smaller than 15 
A) When the population mean is much larger than 15 
B) When the population standard deviation is much larger than 15 
C) When the population mean is much smaller than 15 
D) When the population standard deviation is much smaller than 15

Question 16

In a population of scores,X = 44 corresponds to z = +0.50 and X = 50 corresponds to z = +2.00.What are the values for the population mean and standard deviation?

Accepted Answer

A) µ = 42 and Ϭ = 4 
B) µ = 43 and Ϭ = 2 
C) µ = 40 and Ϭ = 8 
D) µ = 41 and Ϭ = 6 
A) µ = 42 and Ϭ = 4 
B) µ = 43 and Ϭ = 2 
C) µ = 40 and Ϭ = 8 
D) µ = 41 and Ϭ = 6

Question 17

A population has μ = 50.What value of σ would make X = 55 an extreme value out in the tail of the distribution?

Accepted Answer

A) σ = 1 
B) σ = 5 
C) σ = 10 
D) Cannot determine with the information given 
A) σ = 1 
B) σ = 5 
C) σ = 10 
D) Cannot determine with the information given

Question 18

For a population with μ = 34,a score of X = 31 corresponds to z = -1.00.The standard deviation for the population is σ = 6.

Accepted Answer

A) True 
 B)False

Question 19

For a population with µ = 70 and σ = 8,what is the z-score corresponding to X = 82?

Accepted Answer

A) +0.25 
B) +0.75 
C) +1.25 
D) +1.50 
A) +0.25 
B) +0.75 
C) +1.25 
D) +1.50

Question 20

For a population with µ = 80 and σ = 10,what is the X value corresponding to z = -2.00?

Accepted Answer

A) 78 
B) 75 
C) 70 
D) 60 
A) 78 
B) 75 
C) 70 
D) 60

For a population with a standard deviation of σ = 10,what is the z-score corresponding to a score that is 5 points below the mean?

In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was _____.

Describe what happens to the mean,the standard deviation,and the shape of a distribution when all of the scores are transformed into z-scores.

A sample of n = 20 scores is transformed into z-scores.What is the value of SS,the sum of squared deviations,for the set of 20 z-scores?

A population distribution has σ = 6.What position in this distribution is identified by a z-score of z = +2.00?

For a sample with a standard deviation of s = 6,a z-score of z = -1.50 corresponds to a location that is 9 points above the mean.

A sample with M = 85 and s = 12 is transformed into z-scores.After the transformation,what are the values for the mean and standard deviation for the sample of z-scores?

For a population with μ = 50 and σ = 10,a score of X = 45 corresponds to z = +0.50.

For any distribution of scores,the location identified by z = +1 and the location identified by z = -1 are exactly the same distance from the mean.

For a sample with a mean of M = 76,a score of X = 72 corresponds to z = -0.50.The sample standard deviation is s = 8.

A population of scores has µ = 44.In this population,a score of X = 40 corresponds to z = -0.50.What is the population standard deviation?

If an entire population with μ = 60 and σ = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of _ and a standard deviation of _.

For a sample with M = 38 and σ = 12,find the X value that corresponds to each of the following z-scores: -0.25,-1.50,0.50,2.00

A positive z-score always corresponds to a score that is greater than the mean.

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?

In a population of scores,X = 44 corresponds to z = +0.50 and X = 50 corresponds to z = +2.00.What are the values for the population mean and standard deviation?

A population has μ = 50.What value of σ would make X = 55 an extreme value out in the tail of the distribution?

For a population with μ = 34,a score of X = 31 corresponds to z = -1.00.The standard deviation for the population is σ = 6.

For a population with µ = 70 and σ = 8,what is the z-score corresponding to X = 82?

For a population with µ = 80 and σ = 10,what is the X value corresponding to z = -2.00?

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

Probability.

Probability and Samples: The Distribution of Sample Means.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

Exam 5: z-Scores: Location of Scores and Standardized Distributions.

For a population with a standard deviation of σ = 10,what is the z-score corresponding to a score that is 5 points below the mean?

In N = 25 games last season,the college basketball team averaged µ = 76 points with a standard deviation of σ = 6.In their final game of the season,the team scored 89 points.Based on this information,the number of points scored in the final game was _____.

Describe what happens to the mean,the standard deviation,and the shape of a distribution when all of the scores are transformed into z-scores.

A sample of n = 20 scores is transformed into z-scores.What is the value of SS,the sum of squared deviations,for the set of 20 z-scores?

A population distribution has σ = 6.What position in this distribution is identified by a z-score of z = +2.00?

For a sample with a standard deviation of s = 6,a z-score of z = -1.50 corresponds to a location that is 9 points above the mean.

A sample with M = 85 and s = 12 is transformed into z-scores.After the transformation,what are the values for the mean and standard deviation for the sample of z-scores?

For a population with μ = 50 and σ = 10,a score of X = 45 corresponds to z = +0.50.

For any distribution of scores,the location identified by z = +1 and the location identified by z = -1 are exactly the same distance from the mean.

For a sample with a mean of M = 76,a score of X = 72 corresponds to z = -0.50.The sample standard deviation is s = 8.

A population of scores has µ = 44.In this population,a score of X = 40 corresponds to z = -0.50.What is the population standard deviation?

If an entire population with μ = 60 and σ = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of ___ and a standard deviation of ___.

For a sample with M = 38 and σ = 12,find the X value that corresponds to each of the following z-scores: -0.25,-1.50,0.50,2.00

A positive z-score always corresponds to a score that is greater than the mean.

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?

In a population of scores,X = 44 corresponds to z = +0.50 and X = 50 corresponds to z = +2.00.What are the values for the population mean and standard deviation?

A population has μ = 50.What value of σ would make X = 55 an extreme value out in the tail of the distribution?

For a population with μ = 34,a score of X = 31 corresponds to z = -1.00.The standard deviation for the population is σ = 6.

For a population with µ = 70 and σ = 8,what is the z-score corresponding to X = 82?

For a population with µ = 80 and σ = 10,what is the X value corresponding to z = -2.00?

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

Probability.

Probability and Samples: The Distribution of Sample Means.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

If an entire population with μ = 60 and σ = 8 is transformed into z-scores,then the distribution of z-scores will have a mean of _ and a standard deviation of _.