Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
8th Edition
ISBN: 9781464158933
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 2, Problem 157E

(a)

To determine

To find: The marginal total of the provided data to add them in the table.

(a)

Expert Solution
Check Mark

Answer to Problem 157E

Solution: The obtained marginal totals are shown in the below table.

Field of study

Canada

France

Germany

Italy

Japan

UK

US

Total`

SsBL

64

153

66

125

250

152

878

1688

SME

35

111

66

80

136

128

355

911

AH

27

74

33

42

123

105

397

801

Ed

20

45

18

16

39

14

167

319

Other

30

289

35

58

97

76

272

857

Total

176

672

218

321

645

475

2069

4576

Explanation of Solution

Calculation: To obtain the marginal totals, below steps are followed in the Minitab software.

Step 1: Enter the data in Minitab worksheet.

Step 2: Go to Stat > Tables > Descriptive Statistics.

Step 3: Select “Field” in “For rows” and select “Country” in “For columns”. And select “Count” in “Frequencies are in”.

Step 4: Select the option “Counts” under the “Categorical Variables”.

Step 5: Click OK twice.

The totals are obtained as the Minitab output. The obtained marginal totals are shown in the below table.

Field of study

Canada

France

Germany

Italy

Japan

UK

US

Total

SsBL

64

153

66

125

250

152

878

1688

SME

35

111

66

80

136

128

355

911

AH

27

74

33

42

123

105

397

801

Ed

20

45

18

16

39

14

167

319

Other

30

289

35

58

97

76

272

857

Total

176

672

218

321

645

475

2069

4576

Interpretation: The row Total of the table indicates the marginal total corresponding to the Field of Study and the column Total shows the marginal totals for each country.

(b)

To determine

To find: The marginal distribution for the countries of the provided data and the graphical representation of the distribution.

(b)

Expert Solution
Check Mark

Answer to Problem 157E

Solution: The obtained marginal totals are shown in the below table.

Country

Canada

France

Germany

Italy

Japan

UK

US

Total

Marginal Percentage

3.846

14.685

4.764

7.015

14.095

10.38

45.214

100

And the graphical representation is shown below:

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, Chapter 2, Problem 157E , additional homework tip  1

Explanation of Solution

Calculation: To obtain the marginal distribution, below steps are followed in the Minitab software.

Step 1: Enter the data in Minitab worksheet.

Step 2: Go to Stat > Tables > Descriptive Statistics.

Step 3: Select “Field” in “For rows” and select “Country” in “For columns”. And select “Count” in “Frequencies are in”.

Step 4: Select the option “Total percents” and under the “Categorical Variables”.

Step 5: Click OK twice.

The percentage of totals are obtained as the Minitab output. The obtained marginal distribution are shown in the below table.

Country

Canada

France

Germany

Italy

Japan

UK

US

Total

Marginal Percentage

3.846

14.685

4.764

7.015

14.095

10.38

45.214

100

Graph: The marginal distribution is graphically shown by using the bar graph. To obtained the graphical representation, below steps are followed in the Minitab software.

Step 1: Insert the data into the worksheet.

Step 2: Go to Graph Bar Chart.

Step 3: Click on the drop down menu of “Bar represents” and select “Values from table”.

Step 3: Select “Simple” and click “OK”.

Step 4: Specify the “Graph variables” and “Categorical variable”.

Step 5: Click “OK”.

The bar graph is obtained as:

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, Chapter 2, Problem 157E , additional homework tip  2

Interpretation: The maximum percentage of students belongs to US whereas the minimum percentage of the students belongs to Canada.

(c)

To determine

To find: The marginal distribution for the Field of study of the provided data and the graphical representation of the distribution.

(c)

Expert Solution
Check Mark

Answer to Problem 157E

Solution: The obtained marginal totals are shown in the below table.

Field of study

SsBL

SME

AH

Ed

Other

Total

Marginal Percentage

36.888

19.908

17.504

6.971

18.728

100

And the graphical representation is shown below:

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, Chapter 2, Problem 157E , additional homework tip  3

Explanation of Solution

Calculation: To obtained the marginal totals, below steps are followed in the Minitab software.

Step 1: Enter the data in Minitab worksheet.

Step 2: Go to Stat > Tables > Descriptive Statistics.

Step 3: Select “Field” in “For rows” and select “Country” in “For columns”. And select “Count” in “Frequencies are in”.

Step 4: Select the option “Total percents” and under the “Categorical Variables”.

Step 5: Click OK twice.

The percentage of totals are obtained as the Minitab output. The obtained marginal distribution are shown in the below table.

Field of study

SsBL

SME

AH

Ed

Other

Total

Marginal Percentage

17.504

6.971

18.728

19.908

36.888

100

Graph: The marginal distribution is graphically shown by using the bar graph. To obtain the graphical representation, below steps are followed in the Minitab software.

Step 1: Insert the data into the worksheet.

Step 2: Go to Graph Bar Chart.

Step 3: Click on the drop down menu of “Bar represents” and select “Values from table”.

Step 3: Select “Simple” and click “OK”.

Step 4: Specify the “Graph variables” and “Categorical variable”.

Step 5: Click “OK”.

The bar graph is obtained as:

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card, Chapter 2, Problem 157E , additional homework tip  4

Interpretation: The maximum percentage of students studies SsBL fields whereas the minimum percentage of the students studies Ed.

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Chapter 2 Solutions

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card

Ch. 2.2 - Prob. 11UYKCh. 2.2 - Prob. 12UYKCh. 2.2 - Prob. 13UYKCh. 2.2 - Prob. 14UYKCh. 2.2 - Prob. 15UYKCh. 2.2 - Prob. 16UYKCh. 2.2 - Prob. 17UYKCh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.3 - Prob. 38UYKCh. 2.3 - Prob. 39UYKCh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.4 - Prob. 62UYKCh. 2.4 - Prob. 63UYKCh. 2.4 - Prob. 64UYKCh. 2.4 - Prob. 65UYKCh. 2.4 - Prob. 66ECh. 2.4 - Prob. 67ECh. 2.4 - Prob. 68ECh. 2.4 - Prob. 69ECh. 2.4 - Prob. 70ECh. 2.4 - Prob. 71ECh. 2.4 - Prob. 72ECh. 2.4 - Prob. 73ECh. 2.4 - Prob. 74ECh. 2.4 - Prob. 75ECh. 2.4 - Prob. 76ECh. 2.4 - Prob. 77ECh. 2.4 - Prob. 78ECh. 2.4 - Prob. 79ECh. 2.4 - Prob. 80ECh. 2.4 - Prob. 81ECh. 2.4 - Prob. 82ECh. 2.4 - Prob. 83ECh. 2.4 - Prob. 84ECh. 2.4 - Prob. 85ECh. 2.4 - Prob. 86ECh. 2.4 - Prob. 87ECh. 2.4 - Prob. 88ECh. 2.4 - Prob. 89ECh. 2.4 - Prob. 90ECh. 2.4 - Prob. 91ECh. 2.5 - Prob. 92UYKCh. 2.5 - Prob. 93UYKCh. 2.5 - Prob. 94ECh. 2.5 - Prob. 95ECh. 2.5 - Prob. 96ECh. 2.5 - Prob. 97ECh. 2.5 - Prob. 98ECh. 2.5 - Prob. 99ECh. 2.5 - Prob. 100ECh. 2.5 - Prob. 101ECh. 2.5 - Prob. 102ECh. 2.5 - Prob. 103ECh. 2.5 - Prob. 104ECh. 2.5 - Prob. 105ECh. 2.5 - Prob. 106ECh. 2.5 - Prob. 107ECh. 2.5 - Prob. 108ECh. 2.5 - Prob. 109ECh. 2.5 - Prob. 110ECh. 2.5 - Prob. 112ECh. 2.5 - Prob. 113ECh. 2.5 - Prob. 114ECh. 2.6 - Prob. 115UYKCh. 2.6 - Prob. 116UYKCh. 2.6 - Prob. 117UYKCh. 2.6 - Prob. 118UYKCh. 2.6 - Prob. 119UYKCh. 2.6 - Prob. 120UYKCh. 2.6 - Prob. 121ECh. 2.6 - Prob. 122ECh. 2.6 - Prob. 123ECh. 2.6 - Prob. 124ECh. 2.6 - Prob. 125ECh. 2.6 - Prob. 126ECh. 2.6 - Prob. 127ECh. 2.6 - Prob. 128ECh. 2.6 - Prob. 129ECh. 2.6 - Prob. 130ECh. 2.6 - Prob. 131ECh. 2.6 - Prob. 132ECh. 2.7 - Prob. 133ECh. 2.7 - Prob. 134ECh. 2.7 - Prob. 135ECh. 2.7 - Prob. 136ECh. 2.7 - Prob. 137ECh. 2.7 - Prob. 138ECh. 2.7 - Prob. 139ECh. 2.7 - Prob. 140ECh. 2.7 - Prob. 141ECh. 2.7 - Prob. 142ECh. 2.7 - Prob. 143ECh. 2.7 - Prob. 144ECh. 2.7 - Prob. 145ECh. 2 - Prob. 146ECh. 2 - Prob. 147ECh. 2 - Prob. 148ECh. 2 - Prob. 149ECh. 2 - Prob. 150ECh. 2 - Prob. 151ECh. 2 - Prob. 152ECh. 2 - Prob. 153ECh. 2 - Prob. 154ECh. 2 - Prob. 155ECh. 2 - Prob. 156ECh. 2 - Prob. 157ECh. 2 - Prob. 158ECh. 2 - Prob. 159ECh. 2 - Prob. 160ECh. 2 - Prob. 161ECh. 2 - Prob. 162ECh. 2 - Prob. 163ECh. 2 - Prob. 164ECh. 2 - Prob. 165ECh. 2 - Prob. 166ECh. 2 - Prob. 167ECh. 2 - Prob. 168ECh. 2 - Prob. 169ECh. 2 - Prob. 170ECh. 2 - Prob. 171ECh. 2 - Prob. 172ECh. 2 - Prob. 173ECh. 2 - Prob. 174ECh. 2 - Prob. 175ECh. 2 - Prob. 176ECh. 2 - Prob. 177ECh. 2 - Prob. 178E
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