test1-fa22
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School
Texas Tech University *
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Course
3342
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
6
Uploaded by CoachDugongMaster168 on coursehero.com
MATH 3342-022 Test 1
Fall 2022
Test 1
Key
Name (Last, First):
INSTRUCTIONS
This exam consists of two parts.
Part I is comprised of 10 multiple-choice questions (no partial
credit) and is worth 50 points.
Part II consists of partial-credit-type questions and is worth 50
points.
Write the answer of your choice, A-E, to the Part I questions in the
Answer:
space provided.
Use CAPITALS, e.g. B insteab of b.
Give complete answers to the Part II questions in order to get maximum credit. Even if you do not
know the answer try to write something down; remember that blank space equals zero points.
You are allowed to use a formula sheet consisting of no more than
1 sheet (2 pages)
of 8
.
5
×
11
paper. A standard scientific calculator is permitted (and necessary). Usage of a smartphone is per-
mitted provided it is ONLY used as a scientific calculator (you may NOT use it as a communication
device, to access the internet, stored text, etc.).
This
Technometrics Review Times
will be used in some Questions.
The time (in months)
taken to review articles submitted to the journal
Technometrics
on a specific year is given below as
frequency table (the last column gives a few of the corresponding relative frequencies):
Time (months)
Number of articles
(Relative Frequency)
0 to
<
1
45
1 to
<
2
17
2 to
<
3
18
0.105
3 to
<
4
19
4 to
<
5
12
0.070
5 to
<
6
14
6 to
<
7
13
0.076
7 to
<
8
22
8 to
<
9
11
0.064
PART I
1. Refer to the
Technometrics Review Times
dataset. What percentage of this sample of articles
had review times under 7 months?
(a) 19.3%
(b) 13%
(c) 77.8%
(d) 80.7%
***
(e) None of the above
Answer:
1
MATH 3342-022 Test 1
Fall 2022
2. Refer to the
Technometrics Review Times
dataset. We can say that the median review time
for this sample of articles is:
(a) somewhere between 2 and 3 months
(b) somewhere between 3 and 4 months
***
(c) somewhere between 4 and 5 months
(d) exactly 4.5 months
(e) None of the above
Answer:
3. An engineer reaches into a large box containing a shipment of 10,000 bolts just received from a
vendor, and selects the first 10 bolts that are most easily accessible on top for inspection. Which of
the following statements most accurately describes the type of population and sampling mechanism.
(a) The population of 10,000 bolts is
concrete
, and the 10 selected bolts constitute a
convenience
sample.
***
(b) The population of 10,000 bolts is
hypothetical
, and the 10 selected bolts constitute a
convenience
sample.
(c) The population of 10,000 bolts is
concrete
, and the 10 selected bolts constitute a
simple random
sample.
(d) The population of 10,000 bolts is
hypothetical
, and the 10 selected bolts constitute a
stratified
sample.
(e) It would be more appropriate to view the 10 bolts as the population, and the 10,000 bolts as
a sample.
Answer:
4. Consider the following 11 observations on shear strength (MPa) of a bonded joint:
4
.
4
,
16
.
4
,
21
.
8
,
30
.
0
,
33
.
1
,
36
.
6
,
40
.
4
,
66
.
7
,
72
.
8
,
81
.
5
,
108
.
6
Compute the lower fourth (or first quartile).
(a) 21.8
(b) 25.9
***
(c) 30
(d) 36.6
(e) None of the above
Answer:
5. Refer to Question 4. Compute the fourth spread,
f
S
(or interquartile range). (Choose the closest
value.)
(a) 36.6
(b) 43.9
***
(c) 51.0
(d) 51.5
(e) None of the above
Answer:
2
MATH 3342-022 Test 1
Fall 2022
6. Which of the following statements is always
true for any two events
A
and
B
?
(a)
P
(
A
∪
B
) =
P
(
A
) +
P
(
B
)
(b)
P
(
A
∪
B
) =
P
(
A
) +
P
(
B
)
-
P
(
A
∩
B
)
***
(c)
P
(
A
∪
B
) =
P
(
A
)
·
P
(
B
)
(d)
P
(
A
∩
B
) =
P
(
A
)
·
P
(
B
)
(e) None of the above.
Answer:
7. How many permutations of size 3 can be constructed from the elements of the set
{
A, B, C, D, E
}
?
(a) 10
(b) 15
(c) 20
(d) 60
***
(e) None of the above
Answer:
8. A pool of 70 people is available for selection as jurors in a court case. From this pool of 70, the trial
lawyers will randomly select 12 people to form the jury panel. How many different 12-member jury
panels can be formed in this way?
(a) 12!
(b)
70!
12!
(c)
70!
58!
(d)
70!
(12!)(58!)
***
(e) None of the above
Answer:
9. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10
workers on the graveyard shift. Suppose 8 of these workers are to be randomly selected. Compute
the probability that all 8 selected workers are from the day shift. .
(a)
(
20
8
)
/
(
45
8
)
***
(b)
(
15
8
)
/
(
45
8
)
(c)
(
10
8
)
/
(
45
8
)
(d) 20
/
45
(e) None of the above
Answer:
10. Refer to Question 9. What is the probability that when randomly selecting the 8 workers, we end
up with
at least one
worker from each shift?
(a) [
(
20
5
)
+
(
15
5
)
+
(
10
5
)
]
/
(
45
8
)
(b) [
(
20
8
)
+
(
15
8
)
+
(
10
8
)
]
/
(
45
8
)
(c) [
(
19
8
)
+
(
14
8
)
+
(
9
8
)
]
/
(
45
8
)
(d) [
(
19
5
)
+
(
14
5
)
+
(
9
5
)
]
/
(
45
8
)
(e) None of the above
***
Answer:
3
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