MGF 1107
Conceptual Homework 1C
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
a) No consonant letters are vowel letters
b) Some students are not parents
c) Dolphins are mammals.
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
a) Draw a Venn diagram to represent the given information.
b) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
MGF 1107
Conceptual Homework 1D
1. Create an example that illustrates each type of argument below:
a) Inductive:
b) Deductive:
2. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
a) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
MGF 1107
b) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
Conclusion: Bob doesn’t have feathers.
c) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
3. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
4. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1C
MGF 1107
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
d) No consonant letters are vowel letters
e) Some students are not parents
f) Dolphins are mammals.
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
c) Draw a Venn diagram to represent the given information.
d) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
Conceptual Homework 1D
MGF 1107
5. Create an example that illustrates each type of argument below:
c) Inductive:
d) Deductive:
6. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
d) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
e) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
MGF 1107
Conclusion: Bob doesn’t have feathers.
f) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
7. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
8. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1C
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
MGF 1107
g) No consonant letters are vowel letters
h) Some students are not parents
i) Dolphins are mammals.
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
e) Draw a Venn diagram to represent the given information.
f) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
Conceptual Homework 1D
9. Create an example that illustrates each type of argument below:
MGF 1107
e) Inductive:
f) Deductive:
10. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
g) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
MGF 1107
h) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
Conclusion: Bob doesn’t have feathers.
i) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
MGF 1107
11. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
12. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1A
1. Create your own examples to illustrate following type of fallacy:
a. Circular Reasoning -
b. Appeal to emotion -
MGF 1107
c. Hasty Generalization -
d. Personal Attack -
2. How would you explain to someone who is not in the class the difference between the
Straw Man Fallacy and the Personal Attack Fallacy.
For each statement below, write the letter of the corresponding fallacy:
a. Appeal to Ignorance
b. Appeal to Popularity
c. Straw Man
MGF 1107
d. False Cause
3. "Every day, I eat cereal for breakfast. One time, I had a muffin instead, and there was a
major earthquake in my city. I've eaten cereal ever since." _____
4. “After Will said that we should put more money into health and education, Warren
responded by saying that he was surprised that Will hates our country so much that he
wants to leave it defenseless by cutting military spending.” _____
5. “You can’t prove that there aren’t Martians living in caves under the surface of Mars, so
it is reasonable for me to believe there are.” _____
6. “Lots of people bought this album, so it must be good.” _____
7. Why do you think that in real-life examples, you always have a combination of fallacies
(as opposed to just one)?
Conceptual Homework 2A/B
You must show work to receive credit.
1) Bill gates makes approximately $12 billion a year. On average, how much does he make
per minute?
2) A block occupies 0.2587 ft cubed. What is its volume in mm cubed? Show you work, be
sure to use unit conversions.
MGF 1107
3) Imagine that you are driving your car in Canada. As you are driving along, you notice
that the speed limit signs have numbers like 120 (on the highway) and 50 (in the city). As
you start to speed up, you realize that the signs are in km/hour. Unfortunately, your
speedometer only reads in mi/hour. Figure out how fast you are allowed to go if the sign
says 120 km/hr.
4) The average college dorm room measures 12 feet by 19 feet.
a) Convert the measurements to inches.
b) Convert the measurements to centimeters.
c) Find the area of the floor in your room in square inches.
MGF 1107
d) Find the area of the square feet.
e) Find the area of the square yards.
Conceptual Homework 2A/B
You must show work to receive credit.
5) Bill gates makes approximately $12 billion a year. On average, how much does he make
per minute?
6) A block occupies 0.2587 ft cubed. What is its volume in mm cubed? Show you work, be
sure to use unit conversions.
MGF 1107
7) Imagine that you are driving your car in Canada. As you are driving along, you notice
that the speed limit signs have numbers like 120 (on the highway) and 50 (in the city). As
you start to speed up, you realize that the signs are in km/hour. Unfortunately, your
speedometer only reads in mi/hour. Figure out how fast you are allowed to go if the sign
says 120 km/hr.
8) The average college dorm room measures 12 feet by 19 feet.
f) Convert the measurements to inches.
g) Convert the measurements to centimeters.
h) Find the area of the floor in your room in square inches.
MGF 1107
i) Find the area of the square feet.
j) Find the area of the square yards.
Conceptual Homework 4C
Show work to receive credit.
Suppose you just had your first child and you want to begin immediately putting away for
his/her college tuition. Assume that college will cost a total of $160,000 for all 4 year
combined and that your child will begin college at age 18.
1. How much will you need to put away each month at a rate of 4% in order to achieve
that goal?
2. How much money will you have actually put into the account over the course of the 18
years?
MGF 1107
3. How much did your investment actually earn you?
4. Do you think it was worthwhile to put the money into an investment account? Explain
your answer.
1) Write down the Loan Formula here and list what all of the variables stand for.
2) What is the difference between a principal payment and an interest payment?
MGF 1107
3) Which do you think is a more important factor when taking out a loan: monthly payments or
total interest paid? Explain your answer.
4) Look at the chart in the middle of page 246, outlining the 2 different payment options (30 yr
or 15 yr) for a $100,000 mortgage.
a) Which has higher monthly payments?
b) Which one ultimately pays more money to the bank?
c) Do the answers to a and b conflict or make sense? Explain your answer.
When you take out a mortgage, you end up paying the bank back more more at the end of the
loan than you originally borrowed. Given this, do you think it is worthwhile to take out a
mortgage? Why or why not?
https://www.youtube.com/watch?v=sd6BxnZcqJw
Suppose that you borrow $15,000 for a new car. You can select one of the following loans, each
requiring regular monthly payments:
Installment Loan A: three-year loan at 5.9%
Installment Loan B: five-year loan at 6.9%.
MGF 1107
1) Find the (a) monthly payments, (b) totally payback amount and (c) total interest for
Loan A and Loan B. You must show work.
Pre-Class Assignment 5A
Read through section 5A in your book and answer the following questions.
1) In your own words, explain what ‘statistics’ means.
2) What is the difference between a population and a sample?
Give an example of each (where they are part of the same data set)
3) List the 4 Common Sampling Methods with a brief explanation of each.
a)
b)
c)
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d)
4) In your own opinion, why do you think it is important to have a control group in a study?
Suppose you want to know if there is any association between air pollution and chronic
respiratory disease (at a specific time of the year, for example).
1) Think about how you would go about organizing such a statistical study. What steps
would you have to take/what items would you need to include in order to get it off the
ground?
2) In your statistical study what is the:
• Population?
•
Parameter?
•
Sample?
•
Sample Statistics?
3) Given the 4 sampling methods that we have discussed, which one makes the most sense
in your study?
4) Why did you choose this method?
MGF 1107
5) Let’s say that polls show that 52% of voters plan to vote for Candidate A in the
upcoming election with a margin of error of 5%. Can you safely predict that Candidate A
will win the election? Explain your answer.
Do you think it is possible to create a study where there really is no bias
sampling done? How would you manage to create one?
https://www.youtube.com/watch?v=coPe51-WhY8#action=share
1) Explain what selection bias is and why you should take it into account when analyzing data.
2) Explain what participation bias is and why you should take it into account when analyzing data.
MGF 1107
3) Explain what a variable of interest is in a statistical study and why it’s so important to determine
what the variable of interest is.
4) Explain what a confounding variable is.
1) Should you trust that you will get a good deal in a store if you see a sign outside the
store saying “EVERYTHING IN THE STORE IS up to 80%OFF” Support your conclusion with
reasoning.
2) Explain why ‘Are you in favor of a longer lunch hour?’ is a misleading poll question.
3) What crucial information is missing from the following news statement that might make you
view the results differently: A poll reveals that 77% of Americans say ‘Merry Christmas’ rather
than ‘Happy Holidays’.
4) In 2013 a tobacco company purchased an e-cigarette (vaping) company and later did a
study on how vaping was a much healthy alternative to smoking cigarettes and
encouraged people who want to quit smoking to start vaping to help.
MGF 1107
a) What type of study would have taken place, observational or experimental? Explain
your answer.
b) Would a blind study be needed? If so would it need a double blind or single blind?
Explain your answer.
c) How many groups would possibly be needed to do the study and what would they
be considered, controlled or treated?
d) Should you trust this experiment and why?
5) Should you trust that you will get a good deal in a store if you see a sign outside the
store saying “EVERYTHING IN THE STORE IS up to 80%OFF” Support your conclusion with
reasoning.
6) Explain why ‘Are you in favor of a longer lunch hour?’ is a misleading poll question.
7) What crucial information is missing from the following news statement that might make you
view the results differently: A poll reveals that 77% of Americans say ‘Merry Christmas’ rather
than ‘Happy Holidays’.
8) In 2013 a tobacco company purchased an e-cigarette (vaping) company and later did a
study on how vaping was a much healthy alternative to smoking cigarettes and
encouraged people who want to quit smoking to start vaping to help.
MGF 1107
e) What type of study would have taken place, observational or experimental? Explain
your answer.
f) Would a blind study be needed? If so would it need a double blind or single blind?
Explain your answer.
g) How many groups would possibly be needed to do the study and what would they
be considered, controlled or treated?
h) Should you trust this experiment and why?
Conceptual Homework 1C
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
j) No consonant letters are vowel letters
k) Some students are not parents
l) Dolphins are mammals.
MGF 1107
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
g) Draw a Venn diagram to represent the given information.
h) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
Conceptual Homework 1D
13. Create an example that illustrates each type of argument below:
g) Inductive:
h) Deductive:
MGF 1107
14. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
j) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
k) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
Conclusion: Bob doesn’t have feathers.
l) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
MGF 1107
15. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
16. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1C
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
m) No consonant letters are vowel letters
n) Some students are not parents
o) Dolphins are mammals.
MGF 1107
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
i) Draw a Venn diagram to represent the given information.
j) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
Conceptual Homework 1D
17. Create an example that illustrates each type of argument below:
i) Inductive:
j) Deductive:
MGF 1107
18. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
m) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
n) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
Conclusion: Bob doesn’t have feathers.
o) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
MGF 1107
19. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
20. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1C
1.Draw a Venn diagram for the proposition. Label all regions of the diagram clearly
p) No consonant letters are vowel letters
q) Some students are not parents
r) Dolphins are mammals.
MGF 1107
2.There are 77 classrooms in a building, 50 classrooms have Multimedia system, 31 classrooms
have a Smart Board system, and 13 classrooms have both Multimedia and Smart Board.
k) Draw a Venn diagram to represent the given information.
l) Do you need to make any changes to your Venn Diagram if there are 67 classrooms in
the building? Explain your answer.
Conceptual Homework 1D
21. Create an example that illustrates each type of argument below:
k) Inductive:
l) Deductive:
MGF 1107
22. Use Venn Diagrams to prove the validity of the arguments below. Be sure to label your
variables and explain why the argument is valid or invalid.
p) Premise: All chairs have four legs.
Premise: An elephant has 4 legs.
Conclusion: An elephant is a chair
q) Premise: No bananas have feathers.
Premise: Bob isn’t a banana.
Conclusion: Bob doesn’t have feathers.
MGF 1107
r) Premise: If the sky is grey, then it is raining.
Premise: It is not raining.
Conclusion: The sky is not grey.
23. Given the following premises, write a conclusion that will create a valid argument
Premise 1: If my coffee is hot, then it is raining.
Premise 2: If it is raining, then I am sitting in Starbucks.
Premise 3: If I am sitting in Starbucks, then I am writing this example.
Conclusion:
MGF 1107
24. Do you feel that Venn Diagrams help you better understand why an argument is valid or
invalid? Explain your answer.
Conceptual Homework 1A
8. Create your own examples to illustrate following type of fallacy:
e. Circular Reasoning -
f. Appeal to emotion -
g. Hasty Generalization -
h. Personal Attack -
MGF 1107
9. How would you explain to someone who is not in the class the difference between the
Straw Man Fallacy and the Personal Attack Fallacy.
For each statement below, write the letter of the corresponding fallacy:
e.
f.
g.
h.
Appeal to Ignorance
Appeal to Popularity
Straw Man
False Cause
10. "Every day, I eat cereal for breakfast. One time, I had a muffin instead, and there was a
major earthquake in my city. I've eaten cereal ever since." _____
11. “After Will said that we should put more money into health and education, Warren
responded by saying that he was surprised that Will hates our country so much that he
wants to leave it defenseless by cutting military spending.” _____
12. “You can’t prove that there aren’t Martians living in caves under the surface of Mars, so
it is reasonable for me to believe there are.” _____
13. “Lots of people bought this album, so it must be good.” _____
MGF 1107
14. Why do you think that in real-life examples, you always have a combination of fallacies
(as opposed to just one)?
Conceptual Homework 2A/B
You must show work to receive credit.
9) Bill gates makes approximately $12 billion a year. On average, how much does he make
per minute?
10) A block occupies 0.2587 ft cubed. What is its volume in mm cubed? Show you work, be
sure to use unit conversions.
11) Imagine that you are driving your car in Canada. As you are driving along, you notice
that the speed limit signs have numbers like 120 (on the highway) and 50 (in the city). As
you start to speed up, you realize that the signs are in km/hour. Unfortunately, your
speedometer only reads in mi/hour. Figure out how fast you are allowed to go if the sign
says 120 km/hr.
MGF 1107
12) The average college dorm room measures 12 feet by 19 feet.
k) Convert the measurements to inches.
l) Convert the measurements to centimeters.
m) Find the area of the floor in your room in square inches.
n) Find the area of the square feet.
o) Find the area of the square yards.
Conceptual Homework 2A/B
MGF 1107
You must show work to receive credit.
13) Bill gates makes approximately $12 billion a year. On average, how much does he make
per minute?
14) A block occupies 0.2587 ft cubed. What is its volume in mm cubed? Show you work, be
sure to use unit conversions.
15) Imagine that you are driving your car in Canada. As you are driving along, you notice
that the speed limit signs have numbers like 120 (on the highway) and 50 (in the city). As
you start to speed up, you realize that the signs are in km/hour. Unfortunately, your
speedometer only reads in mi/hour. Figure out how fast you are allowed to go if the sign
says 120 km/hr.
16) The average college dorm room measures 12 feet by 19 feet.
p) Convert the measurements to inches.
MGF 1107
q) Convert the measurements to centimeters.
r) Find the area of the floor in your room in square inches.
s) Find the area of the square feet.
t) Find the area of the square yards.
Conceptual Homework 4C
Show work to receive credit.
Suppose you just had your first child and you want to begin immediately putting away for
his/her college tuition. Assume that college will cost a total of $160,000 for all 4 year
combined and that your child will begin college at age 18.
MGF 1107
5. How much will you need to put away each month at a rate of 4% in order to achieve
that goal?
6. How much money will you have actually put into the account over the course of the 18
years?
7. How much did your investment actually earn you?
8. Do you think it was worthwhile to put the money into an investment account? Explain
your answer.
5) Write down the Loan Formula here and list what all of the variables stand for.
MGF 1107
6) What is the difference between a principal payment and an interest payment?
7) Which do you think is a more important factor when taking out a loan: monthly payments or
total interest paid? Explain your answer.
8) Look at the chart in the middle of page 246, outlining the 2 different payment options (30 yr
or 15 yr) for a $100,000 mortgage.
d) Which has higher monthly payments?
e) Which one ultimately pays more money to the bank?
MGF 1107
f)
Do the answers to a and b conflict or make sense? Explain your answer.
When you take out a mortgage, you end up paying the bank back more more at the end of the
loan than you originally borrowed. Given this, do you think it is worthwhile to take out a
mortgage? Why or why not?
https://www.youtube.com/watch?v=sd6BxnZcqJw
Suppose that you borrow $15,000 for a new car. You can select one of the following loans, each
requiring regular monthly payments:
Installment Loan A: three-year loan at 5.9%
Installment Loan B: five-year loan at 6.9%.
2) Find the (a) monthly payments, (b) totally payback amount and (c) total interest for
Loan A and Loan B. You must show work.
Pre-Class Assignment 5A
Read through section 5A in your book and answer the following questions.
5) In your own words, explain what ‘statistics’ means.
6) What is the difference between a population and a sample?
MGF 1107
Give an example of each (where they are part of the same data set)
7) List the 4 Common Sampling Methods with a brief explanation of each.
a)
b)
c)
d)
8) In your own opinion, why do you think it is important to have a control group in a study?
Suppose you want to know if there is any association between air pollution and chronic
respiratory disease (at a specific time of the year, for example).
6) Think about how you would go about organizing such a statistical study. What steps
would you have to take/what items would you need to include in order to get it off the
ground?
MGF 1107
7) In your statistical study what is the:
• Population?
•
Parameter?
•
Sample?
•
Sample Statistics?
8) Given the 4 sampling methods that we have discussed, which one makes the most sense
in your study?
9) Why did you choose this method?
10) Let’s say that polls show that 52% of voters plan to vote for Candidate A in the
upcoming election with a margin of error of 5%. Can you safely predict that Candidate A
will win the election? Explain your answer.
Do you think it is possible to create a study where there really is no bias
sampling done? How would you manage to create one?
https://www.youtube.com/watch?v=coPe51-WhY8#action=share
5) Explain what selection bias is and why you should take it into account when analyzing data.
MGF 1107
6) Explain what participation bias is and why you should take it into account when analyzing data.
7) Explain what a variable of interest is in a statistical study and why it’s so important to determine
what the variable of interest is.
8) Explain what a confounding variable is.
MGF 1107
9) Should you trust that you will get a good deal in a store if you see a sign outside the
store saying “EVERYTHING IN THE STORE IS up to 80%OFF” Support your conclusion with
reasoning.
10) Explain why ‘Are you in favor of a longer lunch hour?’ is a misleading poll question.
11) What crucial information is missing from the following news statement that might make you
view the results differently: A poll reveals that 77% of Americans say ‘Merry Christmas’ rather
than ‘Happy Holidays’.
12) In 2013 a tobacco company purchased an e-cigarette (vaping) company and later did a
study on how vaping was a much healthy alternative to smoking cigarettes and
encouraged people who want to quit smoking to start vaping to help.
i) What type of study would have taken place, observational or experimental? Explain
your answer.
j) Would a blind study be needed? If so would it need a double blind or single blind?
Explain your answer.
k) How many groups would possibly be needed to do the study and what would they
be considered, controlled or treated?
l) Should you trust this experiment and why?
MGF 1107
13) Should you trust that you will get a good deal in a store if you see a sign outside the
store saying “EVERYTHING IN THE STORE IS up to 80%OFF” Support your conclusion with
reasoning.
14) Explain why ‘Are you in favor of a longer lunch hour?’ is a misleading poll question.
15) What crucial information is missing from the following news statement that might make you
view the results differently: A poll reveals that 77% of Americans say ‘Merry Christmas’ rather
than ‘Happy Holidays’.
16) In 2013 a tobacco company purchased an e-cigarette (vaping) company and later did a
study on how vaping was a much healthy alternative to smoking cigarettes and
encouraged people who want to quit smoking to start vaping to help.
m) What type of study would have taken place, observational or experimental? Explain
your answer.
n) Would a blind study be needed? If so would it need a double blind or single blind?
Explain your answer.
o) How many groups would possibly be needed to do the study and what would they
be considered, controlled or treated?
p) Should you trust this experiment and why?
MGF 1107
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