Question 1

The total area of a normal probability distribution is

Accepted Answer

A)  between -3.0 and 3.0. 
B)  1.00. 
C)  dependent on a value of 'z'. 
D)  approximated by the binomial distribution. 
A)  between -3.0 and 3.0. 
B)  1.00. 
C)  dependent on a value of 'z'. 
D)  approximated by the binomial distribution.

Question 2

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869.
(ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6941.
(iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.1179.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 3

The standard deviation of any uniform probability distribution is

Accepted Answer

A)  (b - a)/2 
B)  n(1 - π) 
C)    
D)    
A)  (b - a)/2 
B)  n(1 - π) 
C)    
D)

Question 4

Assume that human body temperatures are normally distributed with a mean of 36.4°C and a
Standard deviation of 0.7°C. If we deﬁne a fever to be a body temperature above 38.0°C.
(i. 01.1% of normal and healthy persons would be considered to have a fever.
(ii. This suggests that a cut-off of 38.0°C is appropriate.

Accepted Answer

A)  (i) and (ii) are correct statements. 
B)  (i) is a correct statement but not (ii). 
C)  (ii) is a correct statement but not (i). 
D)  (i) and (ii) are false statements. 
A)  (i) and (ii) are correct statements. 
B)  (i) is a correct statement but not (ii). 
C)  (ii) is a correct statement but not (i). 
D)  (i) and (ii) are false statements.

Question 5

Two competitive brothers, who work in two different industries, were comparing their salaries.
Because there is a difference of 4 years in their respective work experience, they decided to
Compare, not their actual salaries, but to compare their salaries against their company averages to
See who is doing better. The following gives the brothers salaries, companies mean, and standard
Deviation for each company.  
What is the z-score of Tom's salary?

Accepted Answer

A)  -1.29 
B)  1.29 
C)  -1.89 
D)  1.89 
A)  -1.29 
B)  1.29 
C)  -1.89 
D)  1.89

Question 6

What is the value of the continuity correction factor?

Accepted Answer

A)  1.00 
B)  0.50 
C)  100 
D)  1.96 
A)  1.00 
B)  0.50 
C)  100 
D)  1.96

Question 7

The mean of any uniform probability distribution is

Accepted Answer

A)  (b - a)/2 
B)  (a + b)/2 
C)    
D)  nπ 
A)  (b - a)/2 
B)  (a + b)/2 
C)    
D)  nπ

Question 8

The standard normal probability distribution is one which has:

Accepted Answer

A)  a mean of 1 and any standard deviation. 
B)  any mean and a standard deviation of 1. 
C)  a mean of 0 and any standard deviation. 
D)  a mean of 0 and a standard deviation of 1. 
A)  a mean of 1 and any standard deviation. 
B)  any mean and a standard deviation of 1. 
C)  a mean of 0 and any standard deviation. 
D)  a mean of 0 and a standard deviation of 1.

Question 9

Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Life test
Revealed that the mean mileage is 47,900 and the standard deviation of the normally distributed
Distribution of mileage is 2,050 miles. The manufacturer wants to set the guaranteed mileage so
That no more than 5 percent of the tires will have to be replaced. What guaranteed mileage should
The manufacturer announce?

Accepted Answer

A)  44,528 
B)  32,960 
C)  49,621 
D)  40,922 
A)  44,528 
B)  32,960 
C)  49,621 
D)  40,922

Question 10

Two business major students, in two different sections of economics, were comparing test scores.
The following gives the students' scores, class mean, and standard deviation for each section.  
(i. The student from Section 2 scored better compared to the rest of their section.
(ii. The z-score of the student from section 1 is 1.82.
(iii) The z-score of the student from section 2 is 1.87.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 11

Determine the z-score associated with an area of 0.25 from the mean of a normal distribution to
That positive z-score.

Accepted Answer

A)  0.1368 
B)  0.70 
C)  0.67 
D)  0.68 
E)  0.69 
A)  0.1368 
B)  0.70 
C)  0.67 
D)  0.68 
E)  0.69

Question 12

Tables of normal distribution probabilities are found in many statistics books. These probabilities are
Calculated from a normal distribution with

Accepted Answer

A)  a mean of 1 and a standard deviation of 1. 
B)  a mean of 100 and a standard deviation of 15. 
C)  a mean of 0 and a standard deviation of 15. 
D)  a mean of 0 and a standard deviation of 1. 
A)  a mean of 1 and a standard deviation of 1. 
B)  a mean of 100 and a standard deviation of 15. 
C)  a mean of 0 and a standard deviation of 15. 
D)  a mean of 0 and a standard deviation of 1.

Question 13

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½
Ounces.
(i. The probability that a loaf of bread is > 23 ounces is 0.0228.
(ii. The probability that a loaf of bread is > 21 ounces is 0.9772.
(iii) The probability that a loaf of bread is < 24 ounces is 1.0.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 14

Two competitive brothers, who work in two different industries, were comparing their salaries.
Because there is a difference of 4 years in their respective work experience, they decided to
Compare, not their actual salaries, but to compare their salaries against their company averages to
See who is doing better. The following gives the brothers salaries, companies mean, and standard
Deviation for each company.  
Which brother earns a higher salary compared to the rest of their colleagues?

Accepted Answer

A)  Tom 
B)  Andy 
C)  They both compare the same when measured against their colleagues 
D)  Unable to determine from the information given 
A)  Tom 
B)  Andy 
C)  They both compare the same when measured against their colleagues 
D)  Unable to determine from the information given

Question 15

The mean of a normal distribution is 400 kg. The standard deviation is 10 kg. What is the area
Between 415 kg and the mean of 400 kg?

Accepted Answer

A)  0.5000 
B)  0.1932 
C)  0.4332 
D)  0.3413 
A)  0.5000 
B)  0.1932 
C)  0.4332 
D)  0.3413

Question 16

Two business major students, in two different sections of economics, were comparing test scores.
The following gives the students' scores, class mean, and standard deviation for each section.
Which student scored better compared to the rest of their section?

Accepted Answer

A)  The student in section A. 
B)  The student in section B. 
C)  Both students scored the same. 
D)  We are unable to determine who did better from the information given. 
A)  The student in section A. 
B)  The student in section B. 
C)  Both students scored the same. 
D)  We are unable to determine who did better from the information given.

Question 17

What is an important similarity between the uniform and normal probability distributions?

Accepted Answer

A)  The mean, median and mode are all equal. 
B)  The mean and median are equal. 
C)  They are negatively skewed. 
D)  About 68% of all observations are within one standard deviation of the mean. 
A)  The mean, median and mode are all equal. 
B)  The mean and median are equal. 
C)  They are negatively skewed. 
D)  About 68% of all observations are within one standard deviation of the mean.

Question 18

Normally distributed observations such as a person's weight, height, or shoe size occur quite
Frequently in nature. Business people who are aware of this use it to their advantage. A purchasing
Agent for a large retailer buying 15,000 pairs of women's shoes used the normal curve to decide on
The order quantities for the various sizes. If women's average shoe size is 7.5 with a standard
Deviation of 1.5, how many pairs should be ordered between sizes 6.5 and 9?

Accepted Answer

A)  8640 
B)  8849 
C)  8664 
D)  8864 
E)  8940 
A)  8640 
B)  8849 
C)  8664 
D)  8864 
E)  8940

Question 19

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869.
(ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.1914.
(iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

Question 20

A sample of 500 evening students revealed that their annual incomes from employment in industry
During the day were normally distributed with a mean income of $30,000 and a standard deviation
Of $3,000.
(i. 250 students earned more than $30,000.
(ii. 500 students earned between $20,000 and $40,000.
(iii) 3 students earned less than $22,500.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i). 
A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) is a correct statement but not (ii) or (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (i) and (ii) are correct statements but not (iii). 
E)  (ii) and (iii) are correct statements but not (i).

The total area of a normal probability distribution is

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6941. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.1179.

The standard deviation of any uniform probability distribution is

What is the value of the continuity correction factor?

The mean of any uniform probability distribution is

The standard normal probability distribution is one which has:

Determine the z-score associated with an area of 0.25 from the mean of a normal distribution to That positive z-score.

Tables of normal distribution probabilities are found in many statistics books. These probabilities are Calculated from a normal distribution with

The mean of a normal distribution is 400 kg. The standard deviation is 10 kg. What is the area Between 415 kg and the mean of 400 kg?

Two business major students, in two different sections of economics, were comparing test scores. The following gives the students' scores, class mean, and standard deviation for each section. Which student scored better compared to the rest of their section?

What is an important similarity between the uniform and normal probability distributions?

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.1914. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 6: Discrete Probability Distributions

The total area of a normal probability distribution is

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.6941. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.1179.

The standard deviation of any uniform probability distribution is

What is the value of the continuity correction factor?

The mean of any uniform probability distribution is

The standard normal probability distribution is one which has:

Determine the z-score associated with an area of 0.25 from the mean of a normal distribution to That positive z-score.

Tables of normal distribution probabilities are found in many statistics books. These probabilities are Calculated from a normal distribution with

The mean of a normal distribution is 400 kg. The standard deviation is 10 kg. What is the area Between 415 kg and the mean of 400 kg?

Two business major students, in two different sections of economics, were comparing test scores. The following gives the students' scores, class mean, and standard deviation for each section. Which student scored better compared to the rest of their section?

What is an important similarity between the uniform and normal probability distributions?

(i. The proportion of the area under a normal curve to the right of z = -1.21 is 0.8869. (ii. The proportion of the area under a normal curve to the left of z = 0.50 is 0.1914. (iii) The proportion of the area under a normal curve to the left of z = -2.10 is 0.0179.

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters