Question 1

A normal distribution has a mean of µ = 24 with σ = 3.What is the minimum score needed to be in the top 14% of the distribution?

Accepted Answer

A) X = 24.42 
B) X = 25.08 
C) X = 27.24 
D) X = 20.76 
A) X = 24.42 
B) X = 25.08 
C) X = 27.24 
D) X = 20.76 C

Question 2

John drives to work each morning,and the trip takes an average of µ = 38 minutes.The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes.For a randomly selected morning,what is the probability that John's drive to work will take between 36 and 40 minutes?

Accepted Answer

A) 0.0793 
B) 0.1526 
C) 0.1554 
D) 0.3108 
A) 0.0793 
B) 0.1526 
C) 0.1554 
D) 0.3108 D

Question 3

A normal distribution has a mean of µ = 70 with σ = 10.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 82?

Accepted Answer

A) 0.7698 
B) 0.3849 
C) 0.1151 
D) 0.8849 
A) 0.7698 
B) 0.3849 
C) 0.1151 
D) 0.8849 C

Question 4

For a normal distribution with µ = 100 and σ = 20,the score that separates the top 60% of the distribution from the bottom 40% is X = 105.

Accepted Answer

A) True 
 B)False

Question 5

A vertical line is drawn through a normal distribution at z = 1.20.What proportion of the distribution is on the left-hand side of the line?

Accepted Answer

A) 0.8849 
B) 0.1151 
C) 0.3849 
D) 0.7698 
A) 0.8849 
B) 0.1151 
C) 0.3849 
D) 0.7698

Question 6

A normal distribution has a mean of µ = 60 with σ = 8.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 54?

Accepted Answer

A) 0.7734 
B) 0.2266 
C) 0.2734 
D) 0.3085 
A) 0.7734 
B) 0.2266 
C) 0.2734 
D) 0.3085

Question 7

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score less than X = 130 is p = 0.9987.

Accepted Answer

A) True 
 B)False

Question 8

What proportion of a normal distribution is located between the mean and z = -1.40?

Accepted Answer

A) 0.0808 
B) 0.4192 
C) -0.0808 
D) -0.4192 
A) 0.0808 
B) 0.4192 
C) -0.0808 
D) -0.4192

Question 9

What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution?

Accepted Answer

A) 0.8944 
B) 0.1056 
C) 0.3944 
D) 0.2112 
A) 0.8944 
B) 0.1056 
C) 0.3944 
D) 0.2112

Question 10

A normal distribution has a mean of µ = 40 with σ = 10.If a vertical line is drawn through the distribution at X = 35,what proportion of the scores are on the left side of the line?

Accepted Answer

A) 0.3085 
B) 0.6915 
C) 0.0668 
D) 0.9332 
A) 0.3085 
B) 0.6915 
C) 0.0668 
D) 0.9332

Question 11

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.

Accepted Answer

A) True 
 B)False

Question 12

A normal distribution has a mean of µ = 80 with σ = 20.What score separates the lowest 30% of the distribution from the rest of the scores?

Accepted Answer

A) X = 90.4 
B) X = 69.6 
C) X = 110 
D) X = 50 
A) X = 90.4 
B) X = 69.6 
C) X = 110 
D) X = 50

Question 13

For any normal distribution,the proportion in the tail beyond z = 2.00 is p = 0.0228.

Accepted Answer

A) True 
 B)False

Question 14

What proportion of a normal distribution is located between z = -1.50 and z = +1.50?

Accepted Answer

A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664 
A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664

Question 15

A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution,what is the probability that the score will have a value between X = 100 and X = 130?

Accepted Answer

A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664 
A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664

Question 16

For a normal distribution,the proportion located between z = -1.00 and z = +1.00 is
p = 34.13%

Accepted Answer

A) True 
 B)False

Question 17

A vertical line drawn through a normal distribution at z = -1.00 separates the distribution into two sections,the body and the tail.What proportion of the distribution is in the tail?

Accepted Answer

A) 0.8413 
B) 0.1587 
C) 0.3413 
D) -0.8413 
A) 0.8413 
B) 0.1587 
C) 0.3413 
D) -0.8413

Question 18

What proportion of a normal distribution is located between z = 0 and z = +1.50?

Accepted Answer

A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664 
A) 0.9332 
B) 0.0668 
C) 0.4332 
D) 0.8664

Question 19

What z-score values form the boundaries for the middle 60% of a normal distribution?

Accepted Answer

A) z = +0.25 and z = -0.25 
B) z = +0.39 and z = -0.39 
C) z = +0.52 and z = -0.52 
D) z = +0.84 and z = -0.84 
A) z = +0.25 and z = -0.25 
B) z = +0.39 and z = -0.39 
C) z = +0.52 and z = -0.52 
D) z = +0.84 and z = -0.84

Question 20

Which of the following accurately describes the proportions in the tails of a normal distribution?

Accepted Answer

A) Proportions in the right-hand tail are positive,and proportions in the left-hand tail are negative. 
B) Proportions in the right-hand tail are negative,and proportions in the left-hand tail are positive. 
C) Proportions in both tails are positive. 
D) Proportions in both tails are negative. 
A) Proportions in the right-hand tail are positive,and proportions in the left-hand tail are negative. 
B) Proportions in the right-hand tail are negative,and proportions in the left-hand tail are positive. 
C) Proportions in both tails are positive. 
D) Proportions in both tails are negative.

A normal distribution has a mean of µ = 24 with σ = 3.What is the minimum score needed to be in the top 14% of the distribution?

A normal distribution has a mean of µ = 70 with σ = 10.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 82?

For a normal distribution with µ = 100 and σ = 20,the score that separates the top 60% of the distribution from the bottom 40% is X = 105.

A vertical line is drawn through a normal distribution at z = 1.20.What proportion of the distribution is on the left-hand side of the line?

A normal distribution has a mean of µ = 60 with σ = 8.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 54?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score less than X = 130 is p = 0.9987.

What proportion of a normal distribution is located between the mean and z = -1.40?

What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution?

A normal distribution has a mean of µ = 40 with σ = 10.If a vertical line is drawn through the distribution at X = 35,what proportion of the scores are on the left side of the line?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.

A normal distribution has a mean of µ = 80 with σ = 20.What score separates the lowest 30% of the distribution from the rest of the scores?

For any normal distribution,the proportion in the tail beyond z = 2.00 is p = 0.0228.

What proportion of a normal distribution is located between z = -1.50 and z = +1.50?

A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution,what is the probability that the score will have a value between X = 100 and X = 130?

For a normal distribution,the proportion located between z = -1.00 and z = +1.00 is p = 34.13%

A vertical line drawn through a normal distribution at z = -1.00 separates the distribution into two sections,the body and the tail.What proportion of the distribution is in the tail?

What proportion of a normal distribution is located between z = 0 and z = +1.50?

What z-score values form the boundaries for the middle 60% of a normal distribution?

Which of the following accurately describes the proportions in the tails of a normal distribution?

Introduction to Statistics

Frequency Distributions

Measures of Central Tendency

Measures of Variability

Z-Scores

Probability and Samples:

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 and Two-Factor Anova

Correlation and Regression

Chi-Square Tests

Filters

Exam 6: Probability

A normal distribution has a mean of µ = 24 with σ = 3.What is the minimum score needed to be in the top 14% of the distribution?

A normal distribution has a mean of µ = 70 with σ = 10.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 82?

For a normal distribution with µ = 100 and σ = 20,the score that separates the top 60% of the distribution from the bottom 40% is X = 105.

A vertical line is drawn through a normal distribution at z = 1.20.What proportion of the distribution is on the left-hand side of the line?

A normal distribution has a mean of µ = 60 with σ = 8.If one score is randomly selected from this distribution,what is the probability that the score will be greater than X = 54?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score less than X = 130 is p = 0.9987.

What proportion of a normal distribution is located between the mean and z = -1.40?

What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution?

A normal distribution has a mean of µ = 40 with σ = 10.If a vertical line is drawn through the distribution at X = 35,what proportion of the scores are on the left side of the line?

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.

A normal distribution has a mean of µ = 80 with σ = 20.What score separates the lowest 30% of the distribution from the rest of the scores?

For any normal distribution,the proportion in the tail beyond z = 2.00 is p = 0.0228.

What proportion of a normal distribution is located between z = -1.50 and z = +1.50?

A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution,what is the probability that the score will have a value between X = 100 and X = 130?

For a normal distribution,the proportion located between z = -1.00 and z = +1.00 is p = 34.13%

A vertical line drawn through a normal distribution at z = -1.00 separates the distribution into two sections,the body and the tail.What proportion of the distribution is in the tail?

What proportion of a normal distribution is located between z = 0 and z = +1.50?

What z-score values form the boundaries for the middle 60% of a normal distribution?

Which of the following accurately describes the proportions in the tails of a normal distribution?

Introduction to Statistics

Frequency Distributions

Measures of Central Tendency

Measures of Variability

Z-Scores

Probability and Samples:

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 and Two-Factor Anova

Correlation and Regression

Chi-Square Tests

Filters