Question 1

What proportion of scores on a z distribution falls between a z score of 0.00 and a z score of 1.00?
A).2500
B).3000
C).3413
D).5000

Accepted Answer

The area between a z score of 0.00 and a z score of 1.00 on a standard normal distribution (z distribution) is 0.3413 or 34.13%. This represents the proportion of scores that fall within this range.

Question 2

According to the z distribution, what proportion of SAT verbal scores falls between 400 and 600?
A).3413
B).2500
C).6826
D)-.3413

Accepted Answer

The SAT verbal scores are typically distributed with a mean of 500 and a standard deviation of 100. The scores between 400 and 600 represent one standard deviation below and above the mean, respectively. According to the empirical rule (68-95-99.7 rule) for a normal distribution, approximately 68.26% of the data falls within one standard deviation of the mean.

Question 3

What essential properties are necessary to make a score a standard score?
A)mean and standard deviation
B)median and standard deviation
C)a normative sample of at least 30 participants
D)standard deviation and variance

Accepted Answer

B

Question 4

What proportion of scores on a z distribution falls between a z score of -1.00 and a z score of 1.00?
A).3413
B).6826
C).7500
D).9500

Accepted Answer

In a standard normal distribution (z distribution), approximately 68.26% of the scores fall within one standard deviation of the mean. This range is between a z score of -1.00 and 1.00.

Question 5

Which of the following T scores has a z score of 0.00?
A)10
B)20
C)30
D)40
E)50

Accepted Answer

The answer of Which of the following T scores has...

Question 6

What z score cuts off the upper 50% of the z distribution?
A)0.00
B)1.96
C)-1.00
D)-1.96

Accepted Answer

The z score that cuts off the upper 50% of the z distribution is 0.00, as the mean of a standard normal distribution (z distribution) is 0, dividing the distribution into two equal halves.

Question 7

On the Karen Horney-Coolidge Tridimensional Inventory (note: Karen Horney was a neo-Freudian), a student receives a raw score of 9 on the Compliance Dimension and a raw score of 12 on the Malevolence facet of Aggression.The student
A)was more malevolent than compliant
B)scored higher on the Malevolence facet than on the Compliance dimension
C)scored nearly equally on the two measures given the possibility of chance
D)it cannot be determined

Accepted Answer

The answer of On the Karen Horney-Coolidge Tridimensional Inventory (note:...

Question 8

For a person with an SAT quantitative score of 600, his or her z score would be
A)-1.00
B)0.00
C)1.00
D)2.00

Accepted Answer

A z-score of 1.00 indicates that the score is one standard deviation above the mean. If the SAT quantitative score of 600 corresponds to a z-score of 1.00, it implies that the mean and standard deviation are set such that 600 is one standard deviation above the mean.

Question 9

For a person with an IQ of 145, according to the z distribution, his or her score would be in the _________ percentile.
A)99th (or 100th)
B)95th
C)90th
D)145th

Accepted Answer

An IQ of 145 is significantly above the average IQ of 100 and falls more than two standard deviations above the mean in a normal distribution, placing an individual well into the 99th percentile, indicating they score higher than 99% of the population.

Question 10

To create a single standard score, one must take any number in a set of numbers and ___________ the mean of the set of numbers and ___________ by the standard deviation of those numbers.
A)add; divide
B)subtract; add
C)subtract; divide
D)add; multiply

Accepted Answer

To create a standard score (also known as a z-score), you subtract the mean of the set of numbers from the number in question and then divide the result by the standard deviation of those numbers. This process standardizes the data points relative to the distribution of the data set.

Question 11

For the previous set of scores, which score is at the 50th percentile?
A)10
B)20
C)30
D)40
E)50

Accepted Answer

The 50th percentile, also known as the median, is the value that divides a dataset into two equal halves. Given no specific dataset, the correct answer cannot be determined from the provided options without additional context or data. However, if this question is theoretical and assumes a linear distribution of scores from A to E (10 to 50), then the middle value or the median would be C) 30.

Question 12

What proportion of scores on a z distribution falls between a z score of -1.00 and a z score of 0.00?
A)-.2500
B).2500
C)-.3413
D).3413

Accepted Answer

The answer of What proportion of scores on a z...

Question 13

For a person with an SAT verbal score of 500, his or her score would be in the __________ percentile.
A)25th
B)50th
C)75th
D)100th

Accepted Answer

An SAT verbal score of 500 is approximately in the 50th percentile, meaning that about half of the test-takers scored below this score and half scored above it. Percentiles are a way to compare scores across a large group, indicating the percentage of people a test taker scored the same as or better than.

Question 14

For a person with an IQ of 145, his or her score would be _________ standard deviations above the normative mean.
A)1
B)2
C)3
D)4

Accepted Answer

The normative mean for IQ scores is 100, with a standard deviation of 15. A score of 145 is 45 points above the mean. Dividing the difference by the standard deviation (45 / 15) gives 3 standard deviations above the mean.

Question 15

What proportion of scores on a z distribution falls between a z score of -1.96 and 1.96?
A).3413
B).6826
C).7500
D).9500

Accepted Answer

Approximately 95% of scores fall between a z score of -1.96 and 1.96 in a standard normal distribution.

Question 16

According to the z distribution, what proportion of SAT verbal scores falls between 400 and 500?
A).3413
B).2500
C).6826
D)-.3413

Accepted Answer

The SAT verbal scores are typically distributed with a mean of 500 and a standard deviation of 100. The scores between 400 and 500 are one standard deviation below the mean to the mean. According to the empirical rule (68-95-99.7 rule) for a normal distribution, approximately 68.26% of the data falls within one standard deviation of the mean. However, since the question asks for the proportion between 400 and 500, which is only one side of the mean, we take half of 68.26%, which is approximately 34.13%.

Question 17

What z score cuts off the upper .0250 of the z distribution?
A)0.00
B)1.96
C)-1.00
D)-1.96

Accepted Answer

The z score that cuts off the upper 2.5% (or .0250) of the z distribution is +1.96. This is a commonly referenced value in statistics, particularly in the context of a normal distribution and confidence intervals.

Question 18

According to the z distribution, what proportion of SAT verbal scores falls between 500 and 600?
A).3413
B).2500
C).5000
D).7500

Accepted Answer

The SAT verbal scores are typically distributed with a mean of 500 and a standard deviation of 100. A score of 600 is one standard deviation above the mean. According to the 68-95-99.7 rule (or empirical rule) for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Therefore, since 500 is the mean and 600 is one standard deviation above the mean, about 34% (or .3413 when expressed as a proportion) of the scores fall between 500 and 600.

Question 19

Which of the following is not a standard score?
A)SAT
B)GRE
C)IQ
D)all of the above are standard scores

Accepted Answer

Standard scores are statistical measures that are used to compare individual scores across different tests or assessments. SAT, GRE, and IQ scores are all examples of standard scores, as they are designed to compare an individual's performance to a normative sample.

Question 20

A T score has a mean and standard deviation of
A)100 and 15
B)50 and 10
C)25 and 5
D)500 and 100

Accepted Answer

A T score is standardized to have a mean of 50 and a standard deviation of 10.

Quiz 4: Standard Scores, the Z Distribution, and Hypothesis Testing

What proportion of scores on a z distribution falls between a z score of 0.00 and a z score of 1.00?

According to the z distribution, what proportion of SAT verbal scores falls between 400 and 600?

What essential properties are necessary to make a score a standard score?

What proportion of scores on a z distribution falls between a z score of -1.00 and a z score of 1.00?

Which of the following T scores has a z score of 0.00?

What z score cuts off the upper 50% of the z distribution?

On the Karen Horney-Coolidge Tridimensional Inventory (note: Karen Horney was a neo-Freudian) , a student receives a raw score of 9 on the Compliance Dimension and a raw score of 12 on the Malevolence facet of Aggression.The student

For a person with an SAT quantitative score of 600, his or her z score would be

For a person with an IQ of 145, according to the z distribution, his or her score would be in the _________ percentile.

To create a single standard score, one must take any number in a set of numbers and _ the mean of the set of numbers and _ by the standard deviation of those numbers.

For the previous set of scores, which score is at the 50th percentile?

What proportion of scores on a z distribution falls between a z score of -1.00 and a z score of 0.00?

For a person with an SAT verbal score of 500, his or her score would be in the __________ percentile.

For a person with an IQ of 145, his or her score would be _________ standard deviations above the normative mean.

What proportion of scores on a z distribution falls between a z score of -1.96 and 1.96?

According to the z distribution, what proportion of SAT verbal scores falls between 400 and 500?

What z score cuts off the upper .0250 of the z distribution?

According to the z distribution, what proportion of SAT verbal scores falls between 500 and 600?

Which of the following is not a standard score?

A T score has a mean and standard deviation of