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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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