Question 1

What position in the distribution corresponds to a z-score of z = +2.00?

Accepted Answer

A) above the mean by 2 points 
B) above the mean by a distance equal to 2 standard deviations 
C) below the mean by 2 points 
D) below the mean by a distance equal to 2 standard deviations 
A) above the mean by 2 points 
B) above the mean by a distance equal to 2 standard deviations 
C) below the mean by 2 points 
D) below the mean by a distance equal to 2 standard deviations B

Question 2

A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8.In this sample, what is the z-score corresponding to X = 57?

Accepted Answer

A) z = 12/20 = 0.60 
B) z = 1.00 
C) z = 1.50 
D) z = 2.00 
A) z = 12/20 = 0.60 
B) z = 1.00 
C) z = 1.50 
D) z = 2.00 C

Question 3

A population has μ = 50.What value of σ would make X = 55 a central, representative score in the population?

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 C

Question 4

Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?

Accepted Answer

A) when the population mean is much less than 5 
B) when the population mean is much greater than 5 
C) when the population standard deviation is much less than 5 
D) when the population standard deviation is much greater than 5 
A) when the population mean is much less than 5 
B) when the population mean is much greater than 5 
C) when the population standard deviation is much less than 5 
D) when the population standard deviation is much greater than 5

Question 5

Last week Sarah had exams in Math and in Spanish.On the Math exam, the mean was µ = 30 with σ = 5, and Sarah had a score of X = 45.On the Spanish exam, the mean was µ = 60 with σ = 8 and Sarah had a score of X = 68.For which class should Sara expect the better grade?

Accepted Answer

A) Math 
B) Spanish 
C) The grades should be the same because the two exam scores are in the same location. 
D) There is not enough information to determine which is the better grade. 
A) Math 
B) Spanish 
C) The grades should be the same because the two exam scores are in the same location. 
D) There is not enough information to determine which is the better grade.

Question 6

For a sample with M = 50 and s = 12, what is the X value corresponding to z = -0.25?

Accepted Answer

A) 47 
B) 53 
C) 46 
D) 54 
A) 47 
B) 53 
C) 46 
D) 54

Question 7

A sample of n = 20 scores is transformed into z-scores.What is the mean for the set of 20 z-scores?

Accepted Answer

A) 0 
B) 1 
C) 10 
D) cannot be determined without more information 
A) 0 
B) 1 
C) 10 
D) cannot be determined without more information

Question 8

A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10.When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution?

Accepted Answer

A) X = 53 
B) X = 55 
C) X = 58 
D) X = 61 
A) X = 53 
B) X = 55 
C) X = 58 
D) X = 61

Question 9

In a sample with M = 40 and s = 8, what is the z-score corresponding to X = 38.

Accepted Answer

A) z = -0.25 
B) z = -0.50 
C) z = 0.25 
D) z = 0.50 
A) z = -0.25 
B) z = -0.50 
C) z = 0.25 
D) z = 0.50

Question 10

On an exam with μ = 52, you have a score of X = 56.Which value for the standard deviation would give you the highest position in the class distribution?

Accepted Answer

A) σ = 2 
B) σ = 4 
C) σ = 8 
D) cannot determine from the information given 
A) σ = 2 
B) σ = 4 
C) σ = 8 
D) cannot determine from the information given

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

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.

Question 13

A population with µ = 85 and σ = 12 is transformed into z-scores.After the transformation, what is the standard deviation for the population of z-scores?

Accepted Answer

A) σ = 12 
B) σ = 1.00 
C) σ = 0 
D) cannot be determined from the information given 
A) σ = 12 
B) σ = 1.00 
C) σ = 0 
D) cannot be determined from the information given

Question 14

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

Accepted Answer

A) two points above the mean 
B) two points below the mean 
C) twelve points above the mean 
D) twelve points below the mean 
A) two points above the mean 
B) two points below the mean 
C) twelve points above the mean 
D) twelve points below the mean

Question 15

You have a score of X = 65 on an exam.Which set of parameters would give you the best grade on the exam?

Accepted Answer

A) μ = 60 and σ = 10 
B) μ = 60 and σ = 5 
C) μ = 70 and σ = 10 
D) μ = 70 and σ = 5 
A) μ = 60 and σ = 10 
B) μ = 60 and σ = 5 
C) μ = 70 and σ = 10 
D) μ = 70 and σ = 5

Question 16

For any distribution, what is the z-score corresponding to the median?

Accepted Answer

A) 0 
B) 1 
C) N 
D) cannot be determined from the information given 
A) 0 
B) 1 
C) N 
D) cannot be determined from the information given

Question 17

For a sample with s = 12, a score of X = 73 corresponds to z = -1.00.What is the sample mean?

Accepted Answer

A) M = 61 
B) M = 67 
C) M = 79 
D) M = 85 
A) M = 61 
B) M = 67 
C) M = 79 
D) M = 85

Question 18

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

Question 19

For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?

Accepted Answer

A) M = 35 and s = 10 
B) M = 30 and s = 15 
C) M = 35 and s = 15 
D) M = 30 and s = 10 
A) M = 35 and s = 10 
B) M = 30 and s = 15 
C) M = 35 and s = 15 
D) M = 30 and s = 10

Question 20

On an exam with μ = 52, you have a score of X = 44.Which value for the standard deviation would give you the highest position in the class distribution?

Accepted Answer

A) σ = 2 
B) σ = 4 
C) σ = 8 
D) cannot determine from the information given 
A) σ = 2 
B) σ = 4 
C) σ = 8 
D) cannot determine from the information given

What position in the distribution corresponds to a z-score of z = +2.00?

A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8.In this sample, what is the z-score corresponding to X = 57?

A population has μ = 50.What value of σ would make X = 55 a central, representative score in the population?

Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?

Last week Sarah had exams in Math and in Spanish.On the Math exam, the mean was µ = 30 with σ = 5, and Sarah had a score of X = 45.On the Spanish exam, the mean was µ = 60 with σ = 8 and Sarah had a score of X = 68.For which class should Sara expect the better grade?

For a sample with M = 50 and s = 12, what is the X value corresponding to z = -0.25?

A sample of n = 20 scores is transformed into z-scores.What is the mean for the set of 20 z-scores?

A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10.When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution?

In a sample with M = 40 and s = 8, what is the z-score corresponding to X = 38.

On an exam with μ = 52, you have a score of X = 56.Which value for the standard deviation would give you the highest position in the class distribution?

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?

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 _____.

A population with µ = 85 and σ = 12 is transformed into z-scores.After the transformation, what is the standard deviation for the population of z-scores?

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

You have a score of X = 65 on an exam.Which set of parameters would give you the best grade on the exam?

For any distribution, what is the z-score corresponding to the median?

For a sample with s = 12, a score of X = 73 corresponds to z = -1.00.What is the sample mean?

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 of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?

On an exam with μ = 52, you have a score of X = 44.Which value for the standard deviation would give you the highest position in the class distribution?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

Filters

Exam 5: Z-Scores

What position in the distribution corresponds to a z-score of z = +2.00?

A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8.In this sample, what is the z-score corresponding to X = 57?

A population has μ = 50.What value of σ would make X = 55 a central, representative score in the population?

Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?

Last week Sarah had exams in Math and in Spanish.On the Math exam, the mean was µ = 30 with σ = 5, and Sarah had a score of X = 45.On the Spanish exam, the mean was µ = 60 with σ = 8 and Sarah had a score of X = 68.For which class should Sara expect the better grade?

For a sample with M = 50 and s = 12, what is the X value corresponding to z = -0.25?

A sample of n = 20 scores is transformed into z-scores.What is the mean for the set of 20 z-scores?

A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10.When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution?

In a sample with M = 40 and s = 8, what is the z-score corresponding to X = 38.

On an exam with μ = 52, you have a score of X = 56.Which value for the standard deviation would give you the highest position in the class distribution?

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?

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 _____.

A population with µ = 85 and σ = 12 is transformed into z-scores.After the transformation, what is the standard deviation for the population of z-scores?

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

You have a score of X = 65 on an exam.Which set of parameters would give you the best grade on the exam?

For any distribution, what is the z-score corresponding to the median?

For a sample with s = 12, a score of X = 73 corresponds to z = -1.00.What is the sample mean?

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 of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?

On an exam with μ = 52, you have a score of X = 44.Which value for the standard deviation would give you the highest position in the class distribution?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Probability

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 Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

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 _.