Question 1

This distribution   is an example of a ______.

Accepted Answer

A)  theoretical distribution 
B)  normal distribution 
C)  standard normal distribution 
D)  frequency distribution 
A)  theoretical distribution 
B)  normal distribution 
C)  standard normal distribution 
D)  frequency distribution D

Question 2

"Your score is about a standard deviation below the mean." Which of the following statements is MOST accurate?

Accepted Answer

A)  Your z-score is -.93. 
B)  Your z-score is 1.04. 
C)  Your z-score is -.36. 
D)  Your z-score is 95%. 
A)  Your z-score is -.93. 
B)  Your z-score is 1.04. 
C)  Your z-score is -.36. 
D)  Your z-score is 95%. A

Question 3

In which of the following ways is the standard normal distribution (normal curve) similar to other normal distributions?

Accepted Answer

A)  the standard deviation of the distribution 
B)  the symmetry of the distribution 
C)  the unit of measurement 
D)  none of these 
A)  the standard deviation of the distribution 
B)  the symmetry of the distribution 
C)  the unit of measurement 
D)  none of these B

Question 4

Normal distributions are an important concept to researchers because ______.

Accepted Answer

A)  there is only one normal distribution 
B)  they do not actually exist 
C)  they are the basis of statistical techniques used by researchers 
D)  they help define 'normal' and 'abnormal' behavior 
A)  there is only one normal distribution 
B)  they do not actually exist 
C)  they are the basis of statistical techniques used by researchers 
D)  they help define 'normal' and 'abnormal' behavior

Question 5

About ______ of z-scores in the standard normal distribution are within ______ standard deviations of the mean.

Accepted Answer

A)  99%; ±1 
B)  half; ±2 
C)  two-thirds; ±3 
D)  95%; ±2 
A)  99%; ±1 
B)  half; ±2 
C)  two-thirds; ±3 
D)  95%; ±2

Question 6

"Your score is about a standard deviation above the mean." Which of the following statements is most accurate?

Accepted Answer

A)  Your z-score is -.97. 
B)  Your z-score is 34.13%. 
C)  Your z-score is .94. 
D)  You cannot estimate your z-score with the information provided. 
A)  Your z-score is -.97. 
B)  Your z-score is 34.13%. 
C)  Your z-score is .94. 
D)  You cannot estimate your z-score with the information provided.

Question 7

If two variables are normally distributed the shapes of both distributions will always be the same.

Accepted Answer

A) True 
 B)False

Question 8

Normal distributions differ from frequency distributions in that ______.

Accepted Answer

A)  normal distributions are based on data you have actually collected 
B)  frequency distributions are based on an infinite number of scores 
C)  normal distributions are based on mathematical formulas 
D)  frequency distributions are theoretical distributions 
A)  normal distributions are based on data you have actually collected 
B)  frequency distributions are based on an infinite number of scores 
C)  normal distributions are based on mathematical formulas 
D)  frequency distributions are theoretical distributions

Question 9

Roughly ______ of z-scores in the standard normal distribution are within ±3 standard deviations of the mean.

Accepted Answer

A)  one-third 
B)  half 
C)  two-thirds 
D)  all 
A)  one-third 
B)  half 
C)  two-thirds 
D)  all

Question 10

The ______ of the standard normal distribution (normal curve) is equal to ______.

Accepted Answer

A)  mean; σ 
B)  standard deviation; 1 
C)  mean;   
D)  standard deviation; σ 
A)  mean; σ 
B)  standard deviation; 1 
C)  mean;   
D)  standard deviation; σ

Question 11

______ are distributions based on a population of an infinite number of scores calculated from a mathematical formula.

Accepted Answer

A)  Frequency distribution 
B)  Normal distribution 
C)  Sample distribution 
D)  z-score distribution 
A)  Frequency distribution 
B)  Normal distribution 
C)  Sample distribution 
D)  z-score distribution

Question 12

For a variable that is normally distributed with a mean of 150 and a standard deviation of 25, approximately ______ of the scores are between ______ and ______.

Accepted Answer

A)  95%; 125 and 175 
B)  95%; 100 and 200 
C)  68%; 100 and 200 
D)  99%; 125 and 175 
A)  95%; 125 and 175 
B)  95%; 100 and 200 
C)  68%; 100 and 200 
D)  99%; 125 and 175

Question 13

Imagine the average score on this exam ends up being 77 with a standard deviation of 5. If scores are normally distributed, ______ is the lowest score that would place you in the top 10% of the class.

Accepted Answer

A)  70 
B)  78 
C)  82 
D)  84 
A)  70 
B)  78 
C)  82 
D)  84

Question 14

Normal distributions are an important concept to researchers because ______.

Accepted Answer

A)  they are the basis of statistical techniques designed to test hypotheses 
B)  researchers typically collect data from entire populations 
C)  there is only one normal distribution 
D)  they are neither peaked nor flat 
A)  they are the basis of statistical techniques designed to test hypotheses 
B)  researchers typically collect data from entire populations 
C)  there is only one normal distribution 
D)  they are neither peaked nor flat

Question 15

What percentage of z-scores in the standard normal distribution are between z = -.40 and z = .25?

Accepted Answer

A)  9.87% 
B)  15.54% 
C)  25.41% 
D)  34.46% 
A)  9.87% 
B)  15.54% 
C)  25.41% 
D)  34.46%

Question 16

If a variable is normally distributed with a hypothesized mean (μ) of 26 and a standard deviation (σ) of 7, what is the z-score for a raw score (X) of 21?

Accepted Answer

A)  z = .71 
B)  z = -.71 
C)  z = .90 
D)  z = 1.57 
A)  z = .71 
B)  z = -.71 
C)  z = .90 
D)  z = 1.57

Question 17

An instructor transforms her students' scores on a midterm into standardized (z) scores. Which of the following is by definition true about the distribution of standardized scores?

Accepted Answer

A)  The standardized distribution is normally distributed. 
B)  The mean of the standardized scores is equal to 0. 
C)  The distribution of standardized scores stretches to infinity in both directions. 
D)  The standard deviation of the standardized scores is equal to σ. 
A)  The standardized distribution is normally distributed. 
B)  The mean of the standardized scores is equal to 0. 
C)  The distribution of standardized scores stretches to infinity in both directions. 
D)  The standard deviation of the standardized scores is equal to σ.

Question 18

What percentage of z-scores in the standard normal distribution are less than z = -1.03?

Accepted Answer

A)  -15.15% 
B)  15.15% 
C)  34.85% 
D)  65.15% 
A)  -15.15% 
B)  15.15% 
C)  34.85% 
D)  65.15%

Question 19

Moving from learning about frequency distributions to learning about normal distributions coincides with moving from learning about ______ to learning about ______.

Accepted Answer

A)  the research process; how to analyze data 
B)  how to collect data; mathematical formulas 
C)  measures of central tendency; measures of variability 
D)  describing samples; testing hypotheses about populations 
A)  the research process; how to analyze data 
B)  how to collect data; mathematical formulas 
C)  measures of central tendency; measures of variability 
D)  describing samples; testing hypotheses about populations

Question 20

What percentage of z-scores in the standard normal distribution are greater than z = -1.03?

Accepted Answer

A)  15.15% 
B)  34.85% 
C)  65.15% 
D)  84.85% 
A)  15.15% 
B)  34.85% 
C)  65.15% 
D)  84.85%

This distribution is an example of a ______.

"Your score is about a standard deviation below the mean." Which of the following statements is MOST accurate?

In which of the following ways is the standard normal distribution (normal curve) similar to other normal distributions?

Normal distributions are an important concept to researchers because ______.

About of z-scores in the standard normal distribution are within standard deviations of the mean.

"Your score is about a standard deviation above the mean." Which of the following statements is most accurate?

If two variables are normally distributed the shapes of both distributions will always be the same.

Normal distributions differ from frequency distributions in that ______.

Roughly ______ of z-scores in the standard normal distribution are within ±3 standard deviations of the mean.

The of the standard normal distribution (normal curve) is equal to .

______ are distributions based on a population of an infinite number of scores calculated from a mathematical formula.

For a variable that is normally distributed with a mean of 150 and a standard deviation of 25, approximately of the scores are between and __.

Imagine the average score on this exam ends up being 77 with a standard deviation of 5. If scores are normally distributed, ______ is the lowest score that would place you in the top 10% of the class.

Normal distributions are an important concept to researchers because ______.

What percentage of z-scores in the standard normal distribution are between z = -.40 and z = .25?

If a variable is normally distributed with a hypothesized mean (μ) of 26 and a standard deviation (σ) of 7, what is the z-score for a raw score (X) of 21?

An instructor transforms her students' scores on a midterm into standardized (z) scores. Which of the following is by definition true about the distribution of standardized scores?

What percentage of z-scores in the standard normal distribution are less than z = -1.03?

Moving from learning about frequency distributions to learning about normal distributions coincides with moving from learning about to learning about .

What percentage of z-scores in the standard normal distribution are greater than z = -1.03?

Introduction to Statistics

Examining Data: Tables and Figures

Measures of Central Tendency

Measures of Variability

Probability and Hypothesis Testing

Testing One Sample Mean

Estimating the Mean of a Population

Testing the Difference Between Two Means

Errors in Hypothesis Testing, Statistical Power, and Effect Size

One-Way Analysis of Variance Anova

Two-Way Analysis of Variance Anova

Correlation

Linear Regression and Multiple Correlation

Chi-Square

Filters

Exam 5: Normal Distributions

This distribution is an example of a ______.

"Your score is about a standard deviation below the mean." Which of the following statements is MOST accurate?

In which of the following ways is the standard normal distribution (normal curve) similar to other normal distributions?

Normal distributions are an important concept to researchers because ______.

About ______ of z-scores in the standard normal distribution are within ______ standard deviations of the mean.

"Your score is about a standard deviation above the mean." Which of the following statements is most accurate?

If two variables are normally distributed the shapes of both distributions will always be the same.

Normal distributions differ from frequency distributions in that ______.

Roughly ______ of z-scores in the standard normal distribution are within ±3 standard deviations of the mean.

The ______ of the standard normal distribution (normal curve) is equal to ______.

______ are distributions based on a population of an infinite number of scores calculated from a mathematical formula.

For a variable that is normally distributed with a mean of 150 and a standard deviation of 25, approximately ______ of the scores are between ______ and ______.

Imagine the average score on this exam ends up being 77 with a standard deviation of 5. If scores are normally distributed, ______ is the lowest score that would place you in the top 10% of the class.

Normal distributions are an important concept to researchers because ______.

What percentage of z-scores in the standard normal distribution are between z = -.40 and z = .25?

If a variable is normally distributed with a hypothesized mean (μ) of 26 and a standard deviation (σ) of 7, what is the z-score for a raw score (X) of 21?

An instructor transforms her students' scores on a midterm into standardized (z) scores. Which of the following is by definition true about the distribution of standardized scores?

What percentage of z-scores in the standard normal distribution are less than z = -1.03?

Moving from learning about frequency distributions to learning about normal distributions coincides with moving from learning about ______ to learning about ______.

What percentage of z-scores in the standard normal distribution are greater than z = -1.03?

Introduction to Statistics

Examining Data: Tables and Figures

Measures of Central Tendency

Measures of Variability

Probability and Hypothesis Testing

Testing One Sample Mean

Estimating the Mean of a Population

Testing the Difference Between Two Means

Errors in Hypothesis Testing, Statistical Power, and Effect Size

One-Way Analysis of Variance Anova

Two-Way Analysis of Variance Anova

Correlation

Linear Regression and Multiple Correlation

Chi-Square

Filters

About of z-scores in the standard normal distribution are within standard deviations of the mean.

The of the standard normal distribution (normal curve) is equal to .

For a variable that is normally distributed with a mean of 150 and a standard deviation of 25, approximately of the scores are between and __.

Moving from learning about frequency distributions to learning about normal distributions coincides with moving from learning about to learning about .