MAT 117 Pace University Finding The Mathematical Values Exam Practice

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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
MAT 117 (Fall 2020) 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. A qualitative variable assumes meaningful numerical values.
2. All mathematical operations can be performed on ratio-scaled data.
3. A histogram is a series of rectangles where the width and height of each rectangle represent
the frequency (or relative frequency) and the width of the respective class.
4. The geometric mean is a multiplicative average of a data set used to measure values over a
period of time.
5. The variance and standard deviation are the most widely used measures of central location.
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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
Multiple Choice (4 points each)
6. Which of the following represents a population and a sample from that population?
A) Attendees at a sporting event, and those who purchased popcorn at said sporting event.
B) Full-time employees at a marketing firm, and temporary summer interns at the marketing
firm.
C) Seniors at Boston College and students in a first-semester business statistics course.
D) Stocks available on the NYSE and stocks on the NASDAQ.
7. An undergraduate student’s status (freshman, sophomore, junior, or senior) is an example of
which scale of measurement?
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
5
4
4
5
5
4
4
5
5
4
5
5
2
5
3
3
3
4
3
2
3
2
3
4
3
3
1
3
2
What is the relative frequency of the students who gave Professor Smith an evaluation of 3?
A) 0.3
B) 0.5
C) 9
D) 15
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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
9. What type of relationship is indicated in the scatterplot?
A) No relationship
B) A negative linear relationship
C) A positive linear relationship
D) A positive curvilinear relationship
10. The accompanying relative frequency distribution represents the last year car sales for the
sales force at Kelly’s Mega Used Car Center.
Car Sales
35 up to 45
45 up to 55
55 up to 65
65 up to 75
75 up to 85
Relative Frequency
0.07
0.15
0.31
0.22
0.25
If Kelly’s employs 100 salespeople, how many of these salespeople have sold at least 65 cars in
the last year?
A) 22
B) 25
C) 31
D) 47
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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
11. The following stem-and-leaf diagram shows the speeds in miles per hour (mph) of 14 cars
approaching a toll booth on a bridge in Oakland, California.
Stem
2
3
4
Leaf
56679
47789
0023
How many of the cars were traveling faster than 25 mph but slower than 40 mph?
A) 8
B) 9
C) 10
D) 12
12. The median 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 common value in a data set.
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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
Comprehensive Questions
The following data represent a sample of non-elementary mathematics teachers in Bergen
County, New Jersey. Answer the following questions.
Masters
Masters
Years’
Experience
8
25
$67,945
$82,910
Classes
Taught
6
4
Bachelors
25
$86,030
7
Bachelors
3
$62,690
5
Masters
21
$82,620
5
Masters
Masters
Masters
Masters
Masters
11
41
31
10
3
$82,330
$79,790
$82,626
$82,626
$98,291
5
4
5
4
4
School
Degree
Brookside E.S.
Program 3-Emothionally
Distur.
Program 3-Emothionally
Distur.
Program 3-Emothionally
Distur.
Program 3-Emothionally
Distur.
Program 5-Life Skills
Program 5-Life Skills
Bergen Academies-Hackensack
Bergen Academies-Hackensack
Bergen Academies-Hackensack
Salary
Source:
http://php.app.com/edstaff/results2.php?county=BERGEN&district=%25&school=%25&lname=
&fname=&job1=Math+Non-Elementary&Submit=Submit
13 (4 points). Identity the two variables with ratio scale of measurement.
14 (4 points). Is “Degree” a qualitative or a quantitative variable? Explain.
15 (5 points). List all categories in the “School” variable.
16 (8 points). Build a frequency distribution table for the “Salary” variable.
17 (8 points). Construct a histogram for the “Salary” variable.
18 (3 points). How many percent of teachers taught less than 6 classes?
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Pace University
Fall 2020
MAT 117 CRN 70027
Instructor: Jing Chen
Exam 1
Date of Exam: Sep 23, 2020
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
1
2
3
4
5
GLD
38%
5%
26%
26%
12%
SLV
25%
–27%
55%
76%
–4%
19 (8 points). Calculate the sample variance and sample standard deviation for the GLD and
SLV.
20 (2 points). Which asset had a higher risk?
21 (4 points). Which asset had the greater relative dispersion?
22 (6 points). Describe the relationship between the two funds using the correlation coefficient.
6
M 117 Elementary Statistics Formula Sheet
Binomial probability of x successes in n
trials: 𝑃(𝑥) = 𝑛𝐶𝑥 𝑝 𝑥 (1 − 𝑝)𝑛−𝑥
2
Coefficient of determination: 𝑟 =
∑(𝑦̂−𝑦̅)2
∑(𝑦−𝑦̅)2
𝑠
Mean of a frequency distribution: 𝑥̅ =
∑(𝑚⋅𝑓)
𝑛
Mean (expected value) of a discrete
random variable: 𝜇 = ∑ 𝑥𝑃(𝑥)
Coefficient of variation: 𝐶𝑉 = 𝑥̅
Minimum sample size to estimate 𝝁: 𝑛 =
Combination of n objects taking x: 𝑛𝐶𝑥 =
(
𝑛!
(𝑛−𝑥)!𝑥!
𝑧𝑐 𝜎 2
)
𝐸
Minimum sample size to estimate 𝒑: 𝑛 =
𝑧
2
Confidence interval for a mean: 𝑥̅ − 𝐸 < 𝜎 𝑠 𝜇 < 𝑥̅ + 𝐸, where 𝐸 = 𝑧𝑐 𝑛 or 𝐸 = 𝑡𝑐,𝑑𝑓 𝑛 𝑝̅ (1 − 𝑝̅ ) ( 𝐸𝑐 ) Confidence interval for a proportion: 𝑝̅ − 𝑛! (𝑛−𝑥)! √ √ 𝐸 < 𝑝 < 𝑝̅ + 𝐸, where 𝐸 = 𝑧𝑐 √ 𝑝̅ (1−𝑝̅ ) 𝑛 Confidence interval for a variance: (𝑛−1)𝑠2 2 𝜒𝑅 < 𝜎2 < (𝑛−1)𝑠2 𝜒𝐿2 Confidence interval for a standard (𝑛−1)𝑠2 deviation: √ 2 𝜒𝑅 Purchase answer to see full attachment Tags: correlation coefficient numerical data Sample Variance Relative dispersion standard deviation User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.