Question 1

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

Question 2

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

Accepted Answer

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

Question 3

A sample has M = 72 and s = 4.In this sample,what is the X value corresponding to z = -2.00?

Accepted Answer

A) X = 70 
B) X = 68 
C) X = 64 
D) X = 60

Question 4

For a sample with a standard deviation of s = 8,a score of X = 42 corresponds to z = -0.25.The mean for the sample is M = 40.

Accepted Answer

A) True 
 B)False

Question 5

On an exam,Tom scored 12 points above the mean and had a z-score of +2.00.The standard deviation for the set of exam scores must be σ = 6.

Accepted Answer

A) True 
 B)False

Question 6

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

Question 7

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

Question 8

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

Question 9

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.

Question 10

For a population of exam scores,a score of X = 83 corresponds to z = +0.50 and a score of X = 89 corresponds to z = +1.50.The population mean is μ = 80.

Accepted Answer

A) True 
 B)False

Question 11

A professor standardizes exam scores so that all exams have μ = 50 and σ = 10.If the original scores from an exam have μ = 42 and σ = 6,then a student with an original exam score of X = 45 would receive a standardized score of X = 55.

Accepted Answer

A) True 
 B)False

Question 12

A population with μ = 54 and σ = 12 is standardized to create a new distribution with μ = 100 and σ = 20.After the transformation,an individual receives a new score of X = 95.The original score for this individual was X = 51.

Accepted Answer

A) True 
 B)False

Question 13

For a sample of n = 30 scores,a score that is 6 points above the mean has a z-score of z = 1.50.What is the sample standard deviation?

Accepted Answer

A) 4 
B) 6 
C) 8 
D) 12

Question 14

For a sample with M = 80,a score of X = 88 corresponds to z = 2.00.What is the sample standard deviation?

Accepted Answer

A) 2 
B) 4 
C) 8 
D) 16

Question 15

For a population with µ = 40 and σ = 8,what is the z-score corresponding to X = 34?

Accepted Answer

A) -0.50 
B) -0.75 
C) -1.00 
D) -1.50

Question 16

In a population with σ = 4,a score of X = 48 corresponds to z = 1.50.The mean for this population is µ = 42.

Accepted Answer

A) True 
 B)False

Question 17

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

Question 18

If two individuals in the same population have identical X scores,they also will have identical z-scores.

Accepted Answer

A) True 
 B)False

Question 19

For a population with a mean of μ = 40,a score of X = 37 corresponds to z = -0.50.The standard deviation for the population is σ = 3.

Accepted Answer

A) True 
 B)False

Question 20

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

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

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?

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

A sample has M = 72 and s = 4.In this sample,what is the X value corresponding to z = -2.00?

For a sample with a standard deviation of s = 8,a score of X = 42 corresponds to z = -0.25.The mean for the sample is M = 40.

On an exam,Tom scored 12 points above the mean and had a z-score of +2.00.The standard deviation for the set of exam scores must be σ = 6.

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?

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?

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 population of exam scores,a score of X = 83 corresponds to z = +0.50 and a score of X = 89 corresponds to z = +1.50.The population mean is μ = 80.

A professor standardizes exam scores so that all exams have μ = 50 and σ = 10.If the original scores from an exam have μ = 42 and σ = 6,then a student with an original exam score of X = 45 would receive a standardized score of X = 55.

A population with μ = 54 and σ = 12 is standardized to create a new distribution with μ = 100 and σ = 20.After the transformation,an individual receives a new score of X = 95.The original score for this individual was X = 51.

For a sample of n = 30 scores,a score that is 6 points above the mean has a z-score of z = 1.50.What is the sample standard deviation?

For a sample with M = 80,a score of X = 88 corresponds to z = 2.00.What is the sample standard deviation?

For a population with µ = 40 and σ = 8,what is the z-score corresponding to X = 34?

In a population with σ = 4,a score of X = 48 corresponds to z = 1.50.The mean for this population is µ = 42.

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?

If two individuals in the same population have identical X scores,they also will have identical z-scores.

For a population with a mean of μ = 40,a score of X = 37 corresponds to z = -0.50.The standard deviation for the population is σ = 3.

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