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Exercise 1

Answer A

Lower limit = 27.94 kg/m^2 - 4.85 kg/m^2 = 23.09 kg/m^2

Upper limit = 27.94 kg/m^2 + 4.85 kg/m^2 = 32.79 kg/m^2

Answer B

Lower limit: µ - 2σ

Upper limit: µ + 2σ

Lower limit = 27.94 kg/m^2 - 2 * 4.85 kg/m^2 = 27.94 kg/m^2 - 9.7 kg/m^2 = 18.24 kg/m^2

Upper limit = 27.94 kg/m^2 + 2 * 4.85 kg/m^2 = 27.94 kg/m^2 + 9.7 kg/m^2 = 37.64 kg/m^2

Answer C

Lower limit: µ - 3σ

Upper limit: µ + 3σ

Lower limit = 27.94 kg/m^2 - 3 * 4.85 kg/m^2 = 27.94 kg/m^2 - 14.55 kg/m^2 = 13.39 kg/m^2

Upper limit = 27.94 kg/m^2 + 3 * 4.85 kg/m^2 = 27.94 kg/m^2 + 14.55 kg/m^2 = 42.49 kg/m^2

So, for 99.7% of patients, their BMI lies between 13.39 kg/m^2 and 42.49 kg/m^2.

 Exercise 2

Answer A

When the data is spread out normally, the median is the same as the mean. That means that the middle weight for adults in Australia is 78 kg, which is the same as the mean.

Answer B

About 95% of the data falls within two standard deviations, 99.7% of the data falls within three standard deviations, and about 68% of the data falls within one standard deviation of the mean.

Lower limit

78 kg - 3 * 10 kg = 78 kg - 30 kg = 48 kg

Upper limit

78 kg + 3 * 10 kg = 78 kg + 30 kg = 108 kg

So, 99.7% of adult Australians will have weights between 48 kg and 108 kg.

Exercise 3

Answer A

X = 1.96 * 16 + 266 = 293.36

The length of the middle 95% of pregnancies falls between approximately 238.64 days and 293.36 days.

Answer B

X = -1.96 * 16 + 266 = 238.64

The length of the shortest 2.5% of pregnancies is approximately 238.64 days.

Answer C

X = 1.96 * 16 + 266 = 293.36

So, the length of the longest 2.5% of pregnancies is approximately 293.36 days.

Exercise 4

Answer A

The dependent variable is diabetes and proposed level and independent variable is age.

Answer B

The association is as follows:-

Correlations

Sex

proposed waist circumference

Diabetes

Betel leaf use

Sex

Pearson Correlation

1

.262**

.007

-.082

Sig. (2-tailed)

.000

.901

.128

N

350

350

350

350

proposed waist circumference

Pearson Correlation

.262**

1

-.075

.012

Sig. (2-tailed)

.000

.159

.828

N

350

350

350

350

Diabetes

Pearson Correlation

.007

-.075

1

.060

Sig. (2-tailed)

.901

.159

.261

N

350

350

350

350

Betel leaf use

Pearson Correlation

-.082

.012

.060

1

Sig. (2-tailed)

.128

.828

.261

N

350

350

350

350

Proposed nutrition level

Pearson Correlation

-.093

.178**

-.051

.100

Sig. (2-tailed)

.081

.001

.344

.061

N

350

350

350

350

Proposed BMI

Pearson Correlation

.100

.255**

-.097

.089

Sig. (2-tailed)

.063

.000

.071

.096

N

350

350

350

350

High Blood pressure

Pearson Correlation

-.280**

-.208**

.228**

.179**

Sig. (2-tailed)

.000

.000

.000

.001

N

350

350

350

350

The above table reflects that the correlation is positive between the variables.

Answer C

The summary statistics is as follows:-

Statistics

Age

Sex

Religion

Occupation

Family income (monthly)

Education

N

Valid

350

350

350

350

350

350

Missing

0

0

0

0

0

0

Mean

29.10

1.43

1.07

4.41

9012.23

3.16

Median

28.00

1.00

1.00

6.00

7250.00

2.00

Std. Deviation

7.927

.496

.248

2.941

5966.087

2.003

Variance

62.832

.246

.062

8.650

35594197.885

4.011

Skewness

1.396

.266

3.520

.019

3.007

.461

Std. Error of Skewness

.130

.130

.130

.130

.130

.130

Kurtosis

2.340

-1.940

10.454

-1.521

10.000

-1.451

Std. Error of Kurtosis

.260

.260

.260

.260

.260

.260

Range

41

1

1

8

38000

5

Statistics

proposed waist circumference

Diabetes

Heart Disease

Chronic Respiratory Disease

High Blood pressure

N

Valid

350

350

350

350

350

Missing

0

0

0

0

0

Mean

.1200

1.97

1.35

1.93

1.92

Median

.0000

2.00

1.00

2.00

2.00

Std. Deviation

.32543

.182

.479

.258

.276

Variance

.106

.033

.229

.067

.076

Skewness

2.349

-5.141

.612

-3.343

-3.039

Std. Error of Skewness

.130

.130

.130

.130

.130

Kurtosis

3.537

24.569

-1.635

9.225

7.280

Std. Error of Kurtosis

.260

.260

.260

.260

.260

Range

1.00

1

1

1

1

Statistics

Proposed nutrition level

Proposed BMI

Tobacco Use

Betel leaf use

Body Mass Index

N

Valid

350

350

350

350

350

Missing

0

0

0

0

0

Mean

1.8114

1.6771

1.6286

1.9200

20.6047

Median

2.0000

2.0000

2.0000

2.0000

19.9948

Std. Deviation

.39173

.46824

.48388

.27168

3.35219

Variance

.153

.219

.234

.074

11.237

Skewness

-1.599

-.761

-.534

-3.110

.840

Std. Error of Skewness

.130

.130

.130

.130

.130

Kurtosis

.560

-1.429

-1.724

7.714

.421

Std. Error of Kurtosis

.260

.260

.260

.260

.260

Range

1.00

1.00

1.00

1.00

19.39

Answer D

The graph of occupation is as follows:-

Exercise 5

Answer A

The compare means is as follows-

Case Processing Summary

Cases

Included

Excluded

Total

N

Percent

N

Percent

N

Percent

patients ID * nicotine level pre

209

100.0%

0

0.0%

209

100.0%

nicotine level post * nicotine level pre

209

100.0%

0

0.0%

209

100.0%

smoking status * nicotine level pre

209

100.0%

0

0.0%

209

100.0%

Report

nicotine level pre

patients ID

nicotine level post

smoking status

35.00

Mean

1011.00

53.0000

2.00

N

1

1

1

Std. Deviation

.

.

.

38.00

Mean

1013.00

56.0000

2.00

N

1

1

1

Std. Deviation

.

.

.

39.60

Mean

1021.00

57.4000

2.00

N

1

1

1

Std. Deviation

.

.

.

42.00

Mean

1025.00

57.5000

1.00

N

1

1

1

Std. Deviation

.

.

.

44.00

Mean

1032.00

59.4000

2.00

N

1

1

1

Std. Deviation

.

.

.

46.50

Mean

1035.00

61.5000

2.00

N

1

1

1

Std. Deviation

.

.

.

47.00

Mean

1059.00

65.5000

2.00

N

1

1

1

Std. Deviation

.

.

.

49.00

Mean

1066.00

66.3000

1.00

N

1

1

1

Std. Deviation

.

.

.

51.00

Mean

1198.00

39.6000

2.00

N

1

1

1

Std. Deviation

.

.

.

53.00

Mean

1089.00

42.0000

2.00

N

1

1

1

Std. Deviation

.

.

.

56.00

Mean

1090.00

44.0000

2.00

N

1

1

1

Std. Deviation

.

.

.

57.40

Mean

1106.00

46.5000

2.00

N

1

1

1

Std. Deviation

.

.

.

57.50

Mean

1091.00

47.0000

2.00

N

1

1

1

Std. Deviation

.

.

.

59.40

Mean

1140.00

49.0000

2.00

N

1

1

1

Answer B

The given test is as follows:-

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

nicotine level postb

.

Enter

a. Dependent Variable: patients ID

b. All requested variables entered.

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.080a

.006

.002

60.430

a. Predictors: (Constant), nicotine level post

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

4833.680

1

4833.680

1.324

.251b

Residual

755926.320

207

3651.818

Total

760760.000

208

a. Dependent Variable: patients ID

b. Predictors: (Constant), nicotine level post

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

1132.977

24.674

45.918

.000

nicotine level post

-.326

.284

-.080

-1.150

.251

a. Dependent Variable: patients ID


Appendices

Frequency Table

ge

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

19

9

2.6

2.6

2.6

20

24

6.9

6.9

9.4

21

7

2.0

2.0

11.4

22

32

9.1

9.1

20.6

23

16

4.6

4.6

25.1

24

17

4.9

4.9

30.0

25

43

12.3

12.3

42.3

26

17

4.9

4.9

47.1

27

9

2.6

2.6

49.7

28

25

7.1

7.1

56.9

29

9

2.6

2.6

59.4

30

29

8.3

8.3

67.7

31

8

2.3

2.3

70.0

32

21

6.0

6.0

76.0

33

1

.3

.3

76.3

34

3

.9

.9

77.1

35

28

8.0

8.0

85.1

36

2

.6

.6

85.7

37

2

.6

.6

86.3

38

8

2.3

2.3

88.6

40

14

4.0

4.0

92.6

41

2

.6

.6

93.1

42

3

.9

.9

94.0

44

2

.6

.6

94.6

45

3

.9

.9

95.4

47

2

.6

.6

96.0

48

1

.3

.3

96.3

49

1

.3

.3

96.6

50

5

1.4

1.4

98.0

52

1

.3

.3

98.3

53

1

.3

.3

98.6

55

1

.3

.3

98.9

60

4

1.1

1.1

100.0

Total

350

100.0

100.0

Sex

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

male

198

56.6

56.6

56.6

female

152

43.4

43.4

100.0

Total

350

100.0

100.0

Religion

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Muslim

327

93.4

93.4

93.4

Hindu

23

6.6

6.6

100.0

Total

350

100.0

100.0

Occupation

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

House wife

124

35.4

35.4

35.4

Garments worker

16

4.6

4.6

40.0

Day laborer

27

7.7

7.7

47.7

Govt.job

4

1.1

1.1

48.9

Private job

75

21.4

21.4

70.3

Small business

60

17.1

17.1

87.4

student

5

1.4

1.4

88.9

others

39

11.1

11.1

100.0

Total

350

100.0

100.0

Family income (monthly)

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

2000

1

.3

.3

.3

2100

1

.3

.3

.6

2500

1

.3

.3

.9

3000

7

2.0

2.0

2.9

3500

1

.3

.3

3.1

4000

10

2.9

2.9

6.0

4500

6

1.7

1.7

7.7

4750

1

.3

.3

8.0

5000

35

10.0

10.0

18.0

6000

53

15.1

15.1

33.1

6500

1

.3

.3

33.4

7000

58

16.6

16.6

50.0

7500

2

.6

.6

50.6

8000

34

9.7

9.7

60.3

8930

1

.3

.3

60.6

9000

31

8.9

8.9

69.4

10000

58

16.6

16.6

86.0

11000

3

.9

.9

86.9

12000

17

4.9

4.9

91.7

15000

4

1.1

1.1

92.9

17000

1

.3

.3

93.1

20000

7

2.0

2.0

95.1

22000

1

.3

.3

95.4

25000

1

.3

.3

95.7

30000

9

2.6

2.6

98.3

35000

4

1.1

1.1

99.4

40000

2

.6

.6

100.0

Total

350

100.0

100.0

Education

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Primary

89

25.4

25.4

25.4

Secondary

100

28.6

28.6

54.0

S.S.C

36

10.3

10.3

64.3

H.S.C

14

4.0

4.0

68.3

Graduation

12

3.4

3.4

71.7

don't know

99

28.3

28.3

100.0

Total

350

100.0

100.0

proposed waist circumference

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

normal range

308

88.0

88.0

88.0

incease risk

42

12.0

12.0

100.0

Total

350

100.0

100.0

Diabetes

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

12

3.4

3.4

3.4

no

338

96.6

96.6

100.0

Total

350

100.0

100.0

Heart Disease

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

226

64.6

64.6

64.6

no

124

35.4

35.4

100.0

Total

350

100.0

100.0

Chronic Respiratory Disease

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

25

7.1

7.1

7.1

no

325

92.9

92.9

100.0

Total

350

100.0

100.0

High Blood pressure

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

yes

29

8.3

8.3

8.3

no

321

91.7

91.7

100.0

Total

350

100.0

100.0

Proposed nutrition level

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

undernourished

66

18.9

18.9

18.9

non undernaurished

284

81.1

81.1

100.0

Total

350

100.0

100.0

Proposed BMI

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

CED

113

32.3

32.3

32.3

Non CED

237

67.7

67.7

100.0

Total

350

100.0

100.0

Tobacco Use

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Yes

130

37.1

37.1

37.1

No

220

62.9

62.9

100.0

Total

350

100.0

100.0

Betel leaf use

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Yes

28

8.0

8.0

8.0

No

322

92.0

92.0

100.0

Total

350

100.0

100.0

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