MATH 110
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MATH 110 Module 1 Exam.| PORTGE LEARNING 
Module 1 Exam 
 Define each of the following: 
 
a)	Observation. 
 
When a study is conducted, "observation" is known as all the info gathered and/or observed for each element in the study. 
 
b)	Element. 
 
In a study, the "element" is described as the individual and/or particular entry of the data set in which the data is being collected for. The data of the element will be collected, analyzed, and presented in a same manner to differentiate.
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MATH 110 Module 1 Exam.| PORTGE LEARNING 
Module 1 Exam 
 Define each of the following: 
 
a)	Observation. 
 
When a study is conducted, "observation" is known as all the info gathered and/or observed for each element in the study. 
 
b)	Element. 
 
In a study, the "element" is described as the individual and/or particular entry of the data set in which the data is being collected for. The data of the element will be collected, analyzed, and presented in a same manner to differentiate.
MATH 110 Module 1 Exam.| PORTGE LEARNING 
Module 1 Exam 
 Define each of the following: 
 
a)	Observation. 
 
When a study is conducted, "observation" is known as all the info gathered and/or observed for each element in the study. 
 
b)	Element. 
 
In a study, the "element" is described as the individual and/or particular entry of the data set in which the data is being collected for. The data of the element will be collected, analyzed, and presented in a same manner to differentiate.
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MATH 110 Module 1 Exam.| PORTGE LEARNING 
Module 1 Exam 
 Define each of the following: 
 
a)	Observation. 
 
When a study is conducted, "observation" is known as all the info gathered and/or observed for each element in the study. 
 
b)	Element. 
 
In a study, the "element" is described as the individual and/or particular entry of the data set in which the data is being collected for. The data of the element will be collected, analyzed, and presented in a same manner to differentiate.
MATH 110 MODULE 3 EXAM 
 
Module 3 Exam
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MATH 110 MODULE 3 EXAM 
 
Module 3 Exam
MATH 110 TEST 3- PORTAGE LEARNING 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.70,P(B)=.65,P(A∪B)=.80. 
 
 
 
Find the following: 
 
a)	P(A∩B). 
 
For P(A∩B). Use P(A∪B)=P(A)+P(B)-P(A∩B) and rearrange to 
 
P(A∩B)=P(A)+P(B)-P(A∪B). But for this equation, we need P(A) which we can find by using P(A)=1-P(Ac ). So, P(A)=1-.70= .30. 
 
 
 
P(A∩B)=.30+.65-.80=.15.
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MATH 110 TEST 3- PORTAGE LEARNING 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.70,P(B)=.65,P(A∪B)=.80. 
 
 
 
Find the following: 
 
a)	P(A∩B). 
 
For P(A∩B). Use P(A∪B)=P(A)+P(B)-P(A∩B) and rearrange to 
 
P(A∩B)=P(A)+P(B)-P(A∪B). But for this equation, we need P(A) which we can find by using P(A)=1-P(Ac ). So, P(A)=1-.70= .30. 
 
 
 
P(A∩B)=.30+.65-.80=.15.
MATH 110 TEST 3- PORTAGE LEARNING 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.70,P(B)=.65,P(A∪B)=.80. 
 
 
 
Find the following: 
 
a)	P(A∩B). 
 
For P(A∩B). Use P(A∪B)=P(A)+P(B)-P(A∩B) and rearrange to 
 
P(A∩B)=P(A)+P(B)-P(A∪B). But for this equation, we need P(A) which we can find by using P(A)=1-P(Ac ). So, P(A)=1-.70= .30. 
 
 
 
P(A∩B)=.30+.65-.80=.15. 
 
b)	P(A). 
 
P(A) was found above as .30. 
 
c)	P(Bc).
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MATH 110 TEST 3- PORTAGE LEARNING 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.70,P(B)=.65,P(A∪B)=.80. 
 
 
 
Find the following: 
 
a)	P(A∩B). 
 
For P(A∩B). Use P(A∪B)=P(A)+P(B)-P(A∩B) and rearrange to 
 
P(A∩B)=P(A)+P(B)-P(A∪B). But for this equation, we need P(A) which we can find by using P(A)=1-P(Ac ). So, P(A)=1-.70= .30. 
 
 
 
P(A∩B)=.30+.65-.80=.15. 
 
b)	P(A). 
 
P(A) was found above as .30. 
 
c)	P(Bc).
MATH 110 MODULE 7 EXAM. | PORTAGE LEARNING 
 
Module 7 Exam 
Exam Page 1 
a)	Define the null and alternative hypothesis for the following. Also, explain what it would mean to make a Type I error and explain what it would mean to make a Type II error. 
 
The newspaper in a certain city had a circulation of 19,000 per day in 2010. You believe that the newspaper’s circulation is different than 19,000 today. 
 
Ho: u = 19000 H1: u ≠ 19000
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MATH 110 MODULE 7 EXAM. | PORTAGE LEARNING 
 
Module 7 Exam 
Exam Page 1 
a)	Define the null and alternative hypothesis for the following. Also, explain what it would mean to make a Type I error and explain what it would mean to make a Type II error. 
 
The newspaper in a certain city had a circulation of 19,000 per day in 2010. You believe that the newspaper’s circulation is different than 19,000 today. 
 
Ho: u = 19000 H1: u ≠ 19000
MATH 110 Module 2 Exam.| PORTGE LEARNING 
 
Module 2 Exam 
 
Exam Page 1 
During an hour at a fast food restaurant, the following types of sandwiches are ordered: 
 
Cheeseburger	Fish	Cheeseburger	Hamburger	Fish		Chicken Hamburger	Cheeseburger		Fish Hamburger		Turkey	Fish	Chicken Chicken	Fish		Turkey	Fish	Hamburger	Fish 
Cheeseburger	Fish		Cheeseburger	Hamburger	Fish	Fish Cheeseburger	Hamburger	Fish		Turkey	Turkey		Chicken	Fish Chicken		Cheeseburger	Fish	Turkey	Fish	Fish		Hamburger Fish	Fish	Tur...
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MATH 110 Module 2 Exam.| PORTGE LEARNING 
 
Module 2 Exam 
 
Exam Page 1 
During an hour at a fast food restaurant, the following types of sandwiches are ordered: 
 
Cheeseburger	Fish	Cheeseburger	Hamburger	Fish		Chicken Hamburger	Cheeseburger		Fish Hamburger		Turkey	Fish	Chicken Chicken	Fish		Turkey	Fish	Hamburger	Fish 
Cheeseburger	Fish		Cheeseburger	Hamburger	Fish	Fish Cheeseburger	Hamburger	Fish		Turkey	Turkey		Chicken	Fish Chicken		Cheeseburger	Fish	Turkey	Fish	Fish		Hamburger Fish	Fish	Tur...
MATH 110 MODULE 6 EXAM.| PORTAGE LEARNING 
Exam Page 1 
A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 60 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 350 minutes with a standard deviation of 90 minutes. Find the 80% confidence interval for the mean time that the drug will take to reduce all fevers for all people. 
 
Case 1: large pop and large sample...
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MATH 110 MODULE 6 EXAM.| PORTAGE LEARNING 
Exam Page 1 
A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 60 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 350 minutes with a standard deviation of 90 minutes. Find the 80% confidence interval for the mean time that the drug will take to reduce all fevers for all people. 
 
Case 1: large pop and large sample...
MATH 110 COMBINATION OF EXAM ANSWERS. 
 
Exam 1 
Exam Page 1 
Define each of the following: 
 
a)	Element. 
 
An element is described as "the individual and unique entry in a data set about which data has been collected, analyzed and presented in a same manner to differentiate" (Module 1). 
 
 
b)	Variable. 
 
A variable is defined as a "particular measurable attribute that the researcher believes is needed to describe the element in their study" (Module 1). 
 
 
c)	Data. 
 
Data (or the plu...
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MATH 110 COMBINATION OF EXAM ANSWERS. 
 
Exam 1 
Exam Page 1 
Define each of the following: 
 
a)	Element. 
 
An element is described as "the individual and unique entry in a data set about which data has been collected, analyzed and presented in a same manner to differentiate" (Module 1). 
 
 
b)	Variable. 
 
A variable is defined as a "particular measurable attribute that the researcher believes is needed to describe the element in their study" (Module 1). 
 
 
c)	Data. 
 
Data (or the plu...
MATH 110 Statistics Exam Opener Answers
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MATH 110 Statistics Exam Opener Answers