Question 1

Which of the following is a continuous variable?

Accepted Answer

A)  Sit-ups 
B)  Number of students in a class 
C)  Body weight 
D)  Number of bathtubs in Boulder, Colorado 
A)  Sit-ups 
B)  Number of students in a class 
C)  Body weight 
D)  Number of bathtubs in Boulder, Colorado C

Question 2

In a normal distribution, what percentage of the scores are located between z values of-1.2 and +1.5?

Accepted Answer

A)  12 
B)  82 
C)  88 
D)  93 
A)  12 
B)  82 
C)  88 
D)  93 B

Question 3

What is the percentile associated with a T-score of 43?

Accepted Answer

A)  48.20 
B)  33.20 
C)  25.80 
D)  24.20 
E)  None of the above 
A)  48.20 
B)  33.20 
C)  25.80 
D)  24.20 
E)  None of the above D

Question 4

For a normal distribution, with a mean of 10, if approximately 16% of the observations lie above a score of 13, what is the VARIANCE of the distribution?

Accepted Answer

A)  .3 
B)  9 
C)  13 
D)  19 
A)  .3 
B)  9 
C)  13 
D)  19

Question 5

What T-score is equivalent to a z-score of -1.5?

Accepted Answer

A)  65 
B)  52.94 
C)  51.5 
D)  35 
A)  65 
B)  52.94 
C)  51.5 
D)  35

Question 6

For which of the following measurements would you change the sign of the numerator in the z-score equation?

Accepted Answer

A)  Time to run the 50-yard dash 
B)  Time to exhaustion on a treadmill 
C)  Vertical jump scores 
D)  Distance the shot put is thrown 
A)  Time to run the 50-yard dash 
B)  Time to exhaustion on a treadmill 
C)  Vertical jump scores 
D)  Distance the shot put is thrown

Question 7

If the mean of a distribution is 80, and the standard deviation is 10, which of the following does not belong with the others?

Accepted Answer

A)  percentile= 38.69 
B)  raw score= 67.9 
C)  T-score = 37.9 
D)  z-score= -1.21 
A)  percentile= 38.69 
B)  raw score= 67.9 
C)  T-score = 37.9 
D)  z-score= -1.21

Question 8

Bob's score of 40 on a statistics test was reported to be at the 60th percentile. Fifty students took the test. How many students scored lower than Bob?

Accepted Answer

A)  20 
B)  30 
C)  40 
D)  50 
A)  20 
B)  30 
C)  40 
D)  50

Question 9

Assume GRE scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's verbal GRE score is 470. What is the percentile rank of this score?

Accepted Answer

A)  48 
B)  -.3 
C)  30 
D)  38 
A)  48 
B)  -.3 
C)  30 
D)  38

Question 10

Which of the following is a discrete variable?

Accepted Answer

A)  Maximum oxygen consumption 
B)  Percent fat 
C)  Time for mile run 
D)  Score on this examination 
A)  Maximum oxygen consumption 
B)  Percent fat 
C)  Time for mile run 
D)  Score on this examination

Question 11

The mean score on a test is 80, and the standard deviation is 20 points. What percentage of people scored 75 or less? (Round to the nearest whole number.)

Accepted Answer

A)  10 
B)  40 
C)  43 
D)  60 
E)  None of the above 
A)  10 
B)  40 
C)  43 
D)  60 
E)  None of the above

Question 12

$\begin{array}{lcl}
& \text {Boys  } & \text { Girls } \
\
\bar{X}= & 100 & 120 \
s= & 20 & 10
\end{array}$
-Using the data above, a raw score of 115 for the boys has the same percentile as what raw score for the girls?

Accepted Answer

A)  129.5 
B)  127.5 
C)  123.5 
D)  121.5 
E)  None of the above 
A)  129.5 
B)  127.5 
C)  123.5 
D)  121.5 
E)  None of the above

Question 13

Given that the mean of a distribution is 80, the standard deviation is 10, the variance is 100, and number of people who took the test is 200, which person scored the highest?

Accepted Answer

A)  John, whose z-score is -1.34. 
B)  Mike, who had a T-score of 36. 
C)  Pete, whose raw score was 65. 
D)  Karen, whose percentile is the 30th. 
E)  It is impossible to determine. 
A)  John, whose z-score is -1.34. 
B)  Mike, who had a T-score of 36. 
C)  Pete, whose raw score was 65. 
D)  Karen, whose percentile is the 30th. 
E)  It is impossible to determine.

Question 14

What is the mean of a normal distribution with a standard deviation of 3, if a score of 50 in this distribution is equal to a z-score of 1.0?

Accepted Answer

A)  16.7 
B)  47 
C)  50 
D)  Need the standard error of the mean to determine. 
A)  16.7 
B)  47 
C)  50 
D)  Need the standard error of the mean to determine.

Question 15

SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's SAT score was at the 36th percentile. What was her raw score? (Round to the nearest whole number.)

Accepted Answer

A)  484 
B)  464 
C)  434 
D)  392 
E)  None of the above 
A)  484 
B)  464 
C)  434 
D)  392 
E)  None of the above

Question 16

What z-score is associated with the 80th percentile in a normal distribution?

Accepted Answer

A)  -.84 
B)  -.52 
C)  +.52 
D)  +.84 
A)  -.84 
B)  -.52 
C)  +.52 
D)  +.84

Question 17

Suppose a normal distribution of scores has a mean of 200 and a standard deviation of 20. What is the score in the distribution below which 97.5% of the scores would fall?

Accepted Answer

A)  210.0 
B)  220.0 
C)  232.8 
D)  239.2 
A)  210.0 
B)  220.0 
C)  232.8 
D)  239.2

Question 18

If a distribution of scores is known to be normal and has a mean of 60 and a standard deviation of 7.33, what range of scores would include 99.74% of the scores?

Accepted Answer

A)  53-67 
B)  45-75 
C)  40-80 
D)  38-82 
A)  53-67 
B)  45-75 
C)  40-80 
D)  38-82

Question 19

What is the z-score corresponding to the 39th percentile?

Accepted Answer

A)  -.23 
B)  -.28 
C)  -.67 
D)  -1.23 
E)  None of the above 
A)  -.23 
B)  -.28 
C)  -.67 
D)  -1.23 
E)  None of the above

Question 20

Approximately what percentile is associated with a score located one standard deviation below the mean in a normal distribution?

Accepted Answer

A)  40 
B)  35 
C)  22 
D)  16 
E)  Not possible to determine from information given. 
A)  40 
B)  35 
C)  22 
D)  16 
E)  Not possible to determine from information given.

Which of the following is a continuous variable?

In a normal distribution, what percentage of the scores are located between z values of-1.2 and +1.5?

What is the percentile associated with a T-score of 43?

For a normal distribution, with a mean of 10, if approximately 16% of the observations lie above a score of 13, what is the VARIANCE of the distribution?

What T-score is equivalent to a z-score of -1.5?

For which of the following measurements would you change the sign of the numerator in the z-score equation?

If the mean of a distribution is 80, and the standard deviation is 10, which of the following does not belong with the others?

Bob's score of 40 on a statistics test was reported to be at the 60th percentile. Fifty students took the test. How many students scored lower than Bob?

Assume GRE scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's verbal GRE score is 470. What is the percentile rank of this score?

Which of the following is a discrete variable?

The mean score on a test is 80, and the standard deviation is 20 points. What percentage of people scored 75 or less? (Round to the nearest whole number.)

Boys Girls = 100 120 s= 20 10 -Using the data above, a raw score of 115 for the boys has the same percentile as what raw score for the girls?

Given that the mean of a distribution is 80, the standard deviation is 10, the variance is 100, and number of people who took the test is 200, which person scored the highest?

What is the mean of a normal distribution with a standard deviation of 3, if a score of 50 in this distribution is equal to a z-score of 1.0?

SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's SAT score was at the 36th percentile. What was her raw score? (Round to the nearest whole number.)

What z-score is associated with the 80th percentile in a normal distribution?

Suppose a normal distribution of scores has a mean of 200 and a standard deviation of 20. What is the score in the distribution below which 97.5% of the scores would fall?

If a distribution of scores is known to be normal and has a mean of 60 and a standard deviation of 7.33, what range of scores would include 99.74% of the scores?

What is the z-score corresponding to the 39th percentile?

Approximately what percentile is associated with a score located one standard deviation below the mean in a normal distribution?

Research Methods

Introduction to Measurement and Statistics

Descriptive Statistics

Correlation and Regression

Introduction to Inferential Statistics

Two-Sample T-Test

Issues in Inferential Statistics

One-Way Between-Groups Anova

One-Way Within-Groups Anova

Factorial Anova

Multivariate Anova Manova

Advanced Statistics

Nonparametric Statistics

Filters

Exam 4: The Normal Curve and Standard Scores

Which of the following is a continuous variable?

In a normal distribution, what percentage of the scores are located between z values of-1.2 and +1.5?

What is the percentile associated with a T-score of 43?

For a normal distribution, with a mean of 10, if approximately 16% of the observations lie above a score of 13, what is the VARIANCE of the distribution?

What T-score is equivalent to a z-score of -1.5?

For which of the following measurements would you change the sign of the numerator in the z-score equation?

If the mean of a distribution is 80, and the standard deviation is 10, which of the following does not belong with the others?

Bob's score of 40 on a statistics test was reported to be at the 60th percentile. Fifty students took the test. How many students scored lower than Bob?

Assume GRE scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's verbal GRE score is 470. What is the percentile rank of this score?

Which of the following is a discrete variable?

The mean score on a test is 80, and the standard deviation is 20 points. What percentage of people scored 75 or less? (Round to the nearest whole number.)

Boys Girls = 100 120 s= 20 10 -Using the data above, a raw score of 115 for the boys has the same percentile as what raw score for the girls?

Given that the mean of a distribution is 80, the standard deviation is 10, the variance is 100, and number of people who took the test is 200, which person scored the highest?

What is the mean of a normal distribution with a standard deviation of 3, if a score of 50 in this distribution is equal to a z-score of 1.0?

SAT scores are normally distributed with a mean of 500 and a standard deviation of 100. A student's SAT score was at the 36th percentile. What was her raw score? (Round to the nearest whole number.)

What z-score is associated with the 80th percentile in a normal distribution?

Suppose a normal distribution of scores has a mean of 200 and a standard deviation of 20. What is the score in the distribution below which 97.5% of the scores would fall?

If a distribution of scores is known to be normal and has a mean of 60 and a standard deviation of 7.33, what range of scores would include 99.74% of the scores?

What is the z-score corresponding to the 39th percentile?

Approximately what percentile is associated with a score located one standard deviation below the mean in a normal distribution?

Research Methods

Introduction to Measurement and Statistics

Descriptive Statistics

Correlation and Regression

Introduction to Inferential Statistics

Two-Sample T-Test

Issues in Inferential Statistics

One-Way Between-Groups Anova

One-Way Within-Groups Anova

Factorial Anova

Multivariate Anova Manova

Advanced Statistics

Nonparametric Statistics

Filters