M117 20173 Sample Exam 1
docx
keyboard_arrow_up
School
Pace University *
*We aren’t endorsed by this school
Course
117
Subject
Mathematics
Date
Feb 20, 2024
Type
docx
Pages
4
Uploaded by JusticeThunder13189
Pace University
MAT 117 CRN 20173
Instructor: Nira Herrmann
Spring 2024
Exam 1
Date of Exam: 2/14/2024
MAT 117 Sample Exam 1 Name: __________________________________________________________
Important Instructions (please read):
1. This is a closed-book and closed-note exam. You are allowed to use the formula sheet (provided by the instructor) and a calculator (scientific or graphing, prepared by student). No other electronic devices or aiding tools are permitted.
2. Independent works are required and respected. Any suspicious behavior related to cheating during the exam will be inspected. Cheating in the exam will result in an automatic zero score of the exam and an instructor note to your affiliated department and college. Further investigation and punishment will be handled by the University.
3. The exam is 1 hour 50 minutes. During the exam, a web clock will be projected on the screen so you can check the time.
4. For True/False, provide your reasoning if your answer was false. For Multiple Choice, show your reasoning or calculation. For Comprehensive Questions, show your steps and answers. Correct answer alone without reasoning will not receive full credit. Partial credit will be given to steps showing the right reasoning.
5. Write your solutions in the provided blank space below each question. If extra space is needed, please request extra paper from the instructor during the exam.
True/False (4 points each)
1. Time series data contain values of a characteristic of a subject over time.
2. The mathematical operation of addition can be performed on nominal data.
3. A scatterplot is a graphical tool that helps determine whether or not two quantitative variables are related.
4. In a data set, an outlier is a large or small value regarded as an extreme value in the data set.
5. The standard deviation is the positive square root of the variance.
Multiple Choice (4 points each)
6. Which of the following represents a population and a sample from that population?
A) Residents of Albany, New York, and registered voters in Albany, New York
B) Teachers of a high school and members of the parent-teacher group
C) Fans at a concert who purchase T-shirts, and fans at a concert who purchase soda
D) Freshmen at St. Joseph's University and basketball players at St. Joseph's University
1
Pace University
MAT 117 CRN 20173
Instructor: Nira Herrmann
Spring 2024
Exam 1
Date of Exam: 2/14/2024
7. An analyst collects data on the weekly closing price of gold throughout a year. The scale of this data is
A) ratio scale.
B) ordinal scale.
C) interval scale.
D) nominal scale.
8. Students in Professor Smith's business statistics course have evaluated the overall effectiveness of the professor's instruction on a five-point scale, where a score of 1 indicates very poor performance and a score of 5 indicates outstanding performance. The raw scores are displayed in the accompanying table. 1
4
4
5
5
3
4
3
4
1
5
5
4
4
2
3
3
2
3
3
4
5
5
5
5
3
2
3
3
2
What percentage of students gave professor Smith an evaluation higher than 3?
A) 20%
B) 30%
C) 50%
D) 80%
9. What type of relationship is indicated in the scatterplot?
A) No relationship
B) A negative linear relationship
C) A negative curvilinear relationship
D) A positive linear or curvilinear relationship
10. An analyst constructed the following frequency distribution on the monthly returns for 50 selected stocks. Class (in percent)
Frequency
–10 up to 0
8
0 up to 10
25
10 up to 20
15
20 up to 30
2
The number of stocks with returns of less than 10% is ________.
2
Pace University
MAT 117 CRN 20173
Instructor: Nira Herrmann
Spring 2024
Exam 1
Date of Exam: 2/14/2024
A) 8
B) 25
C) 33
D) 48
11. The annual returns (in percent) for a sample of stocks in the technology industry over the past
year are as follows:
4.2
–9.4
2.8
–16.0
–6.6
The sample standard deviation is the closest to ________.
A) 7.59
B) 8.49
C) 57.61
D) 72.01
12. The mode is defined as the ________.
A) middle point in a data set.
B) geometric average of a data set.
C) arithmetic average of a data set.
D) most frequent value in a data set.
Comprehensive Questions
The following data represent a sample of property sales in Cape May County during the year 2000. Identify the qualitative and quantitative variables. Answer the following questions.
Town
Class
Date
Price ($)
Assessment ($)
Avalon
Residential
12/28/2000
500,000
288,600
Avalon
Residential
04/14/2000
500,000
325,900
Wildwood
Commercial
05/01/2000
500,000
250,000
Avalon
Residential
05/22/2000
500,000
332,500
North Wildwood Commercial
06/02/2000
500,000
607,700
Avalon
Residential
09/16/2000
518,000
269,900
North Wildwood Residential
04/07/2000
520,000
373,100
Avalon
Commercial
01/15/2000
520,000
414,600
Avalon
Residential
01/15/2000
525,000
373,500
Wildwood
Residential
06/14/2000
525,000
379,600
13 (4 points). Identity the two variables with ratio scale of measurement.
14 (4 points). Is "Class" a qualitative or a quantitative variable? Explain.
15 (5 points). List all categories in the "Town" variable.
3
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Pace University
MAT 117 CRN 20173
Instructor: Nira Herrmann
Spring 2024
Exam 1
Date of Exam: 2/14/2024
16 (8 points). Build a frequency distribution table for the "Assessment ($)" variable.
17 (8 points). Construct a histogram for the "Price ($)" variable.
18 (3 points). Find the percentage of sales that were below $300,000.
The Yearly Prices (rounded to the nearest dollar) for GLD (a gold exchange traded fund, denoted as x) and SLV (a silver exchange traded fund, denoted as y) are reported in the following table. Year
GLD
SLV
x
(x-mean_x)^2
y
(y-mean_y)^2
8-Jan
83
473.0625
15
10.5625
9-Jan
87
315.0625
11
52.5625
10-Jan
110
27.5625
17
1.5625
11-Jan
139
1173.0625
30
138.0625
Mean
104.75
18.25
Total
1988.75
202.75
19 (8 points). Calculate the sample variance and sample standard deviation for the GLD ETF and SLV ETF. 20 (2 points). Which asset had a greater variance?
21 (4 points). Which asset had the greater relative dispersion?
22 (6 points). Describe the relationship between the two funds via a scatterplot.
4