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[answered] MGF1106 Test #5 - Chapter 13 Name__________________________


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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Identify the sampling technique used to obtain a sample.
1) A game warden chooses to check for fishing licenses in every 7th boat he encounters on his
patrol.
A) Stratified sampling B) Cluster sampling
C) Systematic sampling D) Random sampling
1)
2) The Food and Drudg Administration randomly selects five stores from each of four randomly
selected sections of a large city and checks food items for freshness.
A) Convenience sampling B) Cluster sampling
C) Random sampling D) Stratified sampling
2)
3) A group of people are classified according to height and then random samples of people from
each group are taken.
A) Convenience sampling B) Random sampling
C) Systematic sampling D) Stratified sampling
3)
4) Students' names are placed in a hat, mixed up, and are then selected from the hat.
A) Random sampling B) Cluster sampling
C) Stratified sampling D) Systematic sampling
4)
5) The first 10 people to arrive at a town meeting are surveyed to find out their opinion on a
proposed ordinance.
A) Cluster sampling B) Systematic sampling
C) Convenience sampling D) Stratified sampling
5)
Provide an appropriate answer.
6) Use the following frequency distribution to determine the midpoint of the second class.
Class Frequency
15-17 6
18-20 4
21-23 6
24-26 8
27-29 7
30-32 5
A) 18.5 B) 21.5 C) 20.5 D) 19.0
6)
1
7) Use the following frequency distribution to determine the modal class (or classes).
Class Frequency
15-19 5
20-24 3
25-29 5
30-34 7
35-39 6
40-44 7
A) 15-19; 25-29; 30-34; 40-44 B) 20-24
C) 30-34; 40-44 D) 30-34
7)
8) Use the following frequency distribution to determine the class limits of the next class if an
additional class were to be added.
Class Frequency
8-15 6
16-23 4
24-31 6
32-39 8
40-47 7
48-55 8
A) 57-64 B) 56-64 C) 56-63 D) 64-71
8)
2
Use the data to construct a frequency distribution.
9)
43 44 44 45 48
48 48 49 49 49
49 50 50 51 51
First Class = 43-44
A)
Class Frequency
43 1
44 2
45 3
46 0
47 0
48 3
49 4
50 2
51 2
B)
Class Frequency
43-44 3
45-46 1
47-48 3
49-50 6
51-52 2
C)
Class Frequency
3 43-44
1 45-46
3 47-48
6 49-50
2 51-52
D)
Class Frequency
43-45 4
46-48 3
49-51 8
9)
Construct a stem and leaf display for given data.
10) The instructor of an introductory mathematics class has recorded the number of students
attending his class in the last 4 weeks. Below are his recordings.
30 26 24 26 33 27 26 35 28 22
33 27 19 34 17 34 30 19 18 34
A)
1
2
3
17 18 19
22 24 26 27 28
30 33 34 35
B)
1
2
3
7 8 9
2 4 6 7 8
0 3 4 5
C)
1
2
3
17 18 19 19
22 24 26 26 26 27 27 28
30 30 33 33 34 34 34 35
D)
1
2
3
7 8 9 9
2 4 6 6 6 7 7 8
0 0 3 3 4 4 4 5
10)
3
Use the data to construct a frequency distribution.
11) The following data represent the total number of years of formal education for 40 employees of a
bank.
13 17 13 14 12 17 19 13 15 13
16 18 13 11 19 19 12 14 13 13
14 15 13 15 17 18 17 14 13 17
12 17 17 16 16 17 15 13 13 14
Construct a frequency distribution, letting each class have a width of one.
A)
Number of
Years of
Education Frequency
12 3
13 11
14 5
15 4
16 3
17 8
18 2
19 3
B)
Number of
Years of
Education Frequency
11 1
12 3
13 11
14 6
15 4
16 3
17 7
18 2
19 3
C)
Number of
Years of
Education Frequency
11 1
12 3
13 12
14 5
15 4
16 3
17 8
18 2
19 2
D)
Number of
Years of
Education Frequency
11 1
12 3
13 11
14 5
15 4
16 3
17 8
18 2
19 3
11)
4
Construct a histogram and frequency polygon of the given frequency distribution.
12) The frequency distribution indicates the number of fish caught by each fisherman in a group of
50 fishermen.
Number of
Fish Caught
Number of
People
1 16
2 12
3 10
4 2
5 6
6 4
A)
16
8
B)
16
8
12)
5
Use the circle graph to solve the problem.
13) A survey of the 7321 vehicles on the campus of State University yielded the following circle
graph.
11%
14% 35%
6%
5%
29%
Find the number of motorcycles. Round your result to the nearest whole number.
A) 11 B) 439 C) 805 D) 6516
13)
14) Find the mean, median, mode, midrange, range, and Q1, Q2, Q3 of the set of data. 14)
101, 34, 70, 70, 34, 101, 19, 19, 19, 101, 19, 19, 70
Mean ____________
Median ____________
Mode ____________
Midrange ____________
Range ____________
Q1 ____________
Q2 _____________
Q3 _____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the standard deviation. Round to the tenths place.
15) 6, 11, 8, 13, 20, 17, 12, 10, 11
A) 4.2 B) 4.5 C) 1.5 D) 4.8
15)
6
Use a z-Table to find the specified area.
16) To the left of z = 1.13
A) 0.8708 B) 0.8485 C) 0.1292 D) 0.8907
16)
17) To the right of z = -1.82
A) -0.0344 B) 0.0344 C) 0.4656 D) 0.9656
17)
Use a z-Table to determine the percent of data specified. Round to the nearest hundredth.
18) Between z = -2.36 and z = -0.14
A) 43.92% B) 43.15% C) 43.49% D) 43.52%
18)
19) Less than z = 2.63
A) 5.16% B) 99.57% C) 95.73% D) 0.43%
19)
20) Greater than z = 0.59
A) 27.76% B) 21.90% C) 22.24% D) 72.24%
20)
7


MGF1106 Test #5 - Chapter 13 Name__________________________________________ Date ______________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Identify the sampling technique used to obtain a sample.

 

1) A game warden chooses to check for fishing licenses in every 7th boat he encounters on his

 

patrol.

 

A) Stratified sampling

 

B) Cluster sampling

 

C) Systematic sampling

 

D) Random sampling 1) 2) The Food and Drudg Administration randomly selects five stores from each of four randomly

 

selected sections of a large city and checks food items for freshness.

 

A) Convenience sampling

 

B) Cluster sampling

 

C) Random sampling

 

D) Stratified sampling 2) 3) A group of people are classified according to height and then random samples of people from

 

each group are taken.

 

A) Convenience sampling

 

B) Random sampling

 

C) Systematic sampling

 

D) Stratified sampling 3) 4) Students' names are placed in a hat, mixed up, and are then selected from the hat.

 

A) Random sampling

 

B) Cluster sampling

 

C) Stratified sampling

 

D) Systematic sampling 4) 5) The first 10 people to arrive at a town meeting are surveyed to find out their opinion on a

 

proposed ordinance.

 

A) Cluster sampling

 

B) Systematic sampling

 

C) Convenience sampling

 

D) Stratified sampling 5) Provide an appropriate answer.

 

6) Use the following frequency distribution to determine the midpoint of the second class.

 

Class Frequency

 

15-17

 

6

 

18-20

 

4

 

21-23

 

6

 

24-26

 

8

 

27-29

 

7

 

30-32

 

5

 

A) 18.5 B) 21.5 C) 20.5 1 D) 19.0 6) 7) Use the following frequency distribution to determine the modal class (or classes).

 

Class Frequency

 

15-19

 

5

 

20-24

 

3

 

25-29

 

5

 

30-34

 

7

 

35-39

 

6

 

40-44

 

7

 

A) 15-19; 25-29; 30-34; 40-44

 

C) 30-34; 40-44 B) 20-24

 

D) 30-34 8) Use the following frequency distribution to determine the class limits of the next class if an

 

additional class were to be added.

 

Class Frequency

 

8-15

 

6

 

16-23

 

4

 

24-31

 

6

 

32-39

 

8

 

40-47

 

7

 

48-55

 

8

 

A) 57-64 7) B) 56-64 C) 56-63 2 D) 64-71 8) Use the data to construct a frequency distribution.

 

9)

 

43 44 44 45 48

 

48 48 49 49 49 First Class = 43-44

 

49 50 50 51 51

 

A)

 

Class Frequency

 

43

 

1

 

44

 

2

 

45

 

3

 

46

 

0

 

47

 

0

 

48

 

3

 

49

 

4

 

50

 

2

 

51

 

2 9) B)

 

Class Frequency

 

43-44

 

3

 

45-46

 

1

 

47-48

 

3

 

49-50

 

6

 

51-52

 

2 C) D)

 

Class Frequency

 

3

 

43-44

 

1

 

45-46

 

3

 

47-48

 

6

 

49-50

 

2

 

51-52 Class Frequency

 

43-45

 

4

 

46-48

 

3

 

49-51

 

8 Construct a stem and leaf display for given data.

 

10) The instructor of an introductory mathematics class has recorded the number of students

 

attending his class in the last 4 weeks. Below are his recordings.

 

30 26 24 26 33 27 26 35 28 22

 

33 27 19 34 17 34 30 19 18 34

 

A)

 

1 17 18 19

 

2 22 24 26 27 28

 

3 30 33 34 35

 

C)

 

1 17 18 19 19

 

2 22 24 26 26 26 27 27 28

 

3 30 30 33 33 34 34 34 35 B)

 

1 789

 

2 24678

 

3 0345

 

D)

 

1 7899

 

2 24666778

 

3 00334445 3 10) Use the data to construct a frequency distribution. 11) The following data represent the total number of years of formal education for 40 employees of a

 

bank.

 

13

 

16

 

14

 

12 17

 

18

 

15

 

17 13

 

13

 

13

 

17 14

 

11

 

15

 

16 12

 

19

 

17

 

16 17

 

19

 

18

 

17 19

 

12

 

17

 

15 13

 

14

 

14

 

13 15

 

13

 

13

 

13 13

 

13

 

17

 

14 Construct a frequency distribution, letting each class have a width of one.

 

A)

 

B)

 

Number of

 

Number of

 

Years of

 

Years of

 

Education Frequency

 

Education Frequency

 

12

 

3

 

11

 

1

 

13

 

11

 

12

 

3

 

14

 

5

 

13

 

11

 

15

 

4

 

14

 

6

 

16

 

3

 

15

 

4

 

17

 

8

 

16

 

3

 

18

 

2

 

17

 

7

 

19

 

3

 

18

 

2

 

19

 

3

 

C)

 

D)

 

Number of

 

Number of

 

Years of

 

Years of

 

Education Frequency

 

Education Frequency

 

11

 

1

 

11

 

1

 

12

 

3

 

12

 

3

 

13

 

12

 

13

 

11

 

14

 

5

 

14

 

5

 

15

 

4

 

15

 

4

 

16

 

3

 

16

 

3

 

17

 

8

 

17

 

8

 

18

 

2

 

18

 

2

 

19

 

2

 

19

 

3 4 11) Construct a histogram and frequency polygon of the given frequency distribution.

 

12) The frequency distribution indicates the number of fish caught by each fisherman in a group of

 

50 fishermen.

 

Number of

 

Fish Caught

 

1

 

2

 

3

 

4

 

5

 

6 Number of

 

People

 

16

 

12

 

10

 

2

 

6

 

4 A)

 

16 8 B)

 

16 8 5 12) Use the circle graph to solve the problem.

 

13) A survey of the 7321 vehicles on the campus of State University yielded the following circle

 

graph. 13) 11% 14% 35% 6%

 

5%

 

29%

 

Find the number of motorcycles. Round your result to the nearest whole number.

 

A) 11

 

B) 439

 

C) 805

 

D) 6516

 

14) Find the mean, median, mode, midrange, range, and Q1, Q2, Q3 of the set of data. 14) 101, 34, 70, 70, 34, 101, 19, 19, 19, 101, 19, 19, 70 Mean ____________ Median ____________ Mode ____________ Midrange ____________ Range ____________ Q1 ____________ Q2 _____________ Q3 _____________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

 

Find the standard deviation. Round to the tenths place.

 

15) 6, 11, 8, 13, 20, 17, 12, 10, 11

 

A) 4.2 15) B) 4.5 C) 1.5 6 D) 4.8 Use a z-Table to find the specified area.

 

16) To the left of z = 1.13

 

A) 0.8708

 

B) 0.8485 17) To the right of z = -1.82

 

A) -0.0344 16)

 

C) 0.1292 D) 0.8907 17)

 

B) 0.0344 C) 0.4656 D) 0.9656 Use a z-Table to determine the percent of data specified. Round to the nearest hundredth.

 

18) Between z = -2.36 and z = -0.14

 

A) 43.92%

 

B) 43.15%

 

C) 43.49%

 

D) 43.52% 19) Less than z = 2.63

 

A) 5.16% B) 99.57% C) 95.73% D) 0.43% 20) Greater than z = 0.59

 

A) 27.76% B) 21.90% C) 22.24% D) 72.24% 18) 19) 20) 7

 


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