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Data Analysis Question 1(a) Weekly Ordinary Time Salary Descriptives Statistic Std. Error Weekly ordinary time salary (excluding paid overtime, etc.) Mean $874.17 $57.403 95% Confidence Interval for Mean Lower Bound $758.69 Upper Bound $989.65 5% Trimmed Mean $856.16 Median $742.50 Variance 158165.461 Std. Deviation $397.700 Minimum $400 Maximum $1,720 Range $1,320 Interquartile Range $690 Skewness .633 .343 Kurtosis -.908 .674

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Page 1: files.transtutors.com€¦  · Web viewJob sta is a categorical data not numerical continuous data and therefore histogram cannot be produced ( it’s a bar chart)

Data Analysis

Question 1(a)

Weekly Ordinary Time SalaryDescriptives

Statistic Std. Error

Weekly ordinary time salary

(excluding paid overtime,

etc.)

Mean $874.17 $57.403

95% Confidence Interval for

Mean

Lower Bound $758.69

Upper Bound $989.65

5% Trimmed Mean $856.16

Median $742.50

Variance 158165.461

Std. Deviation $397.700

Minimum $400

Maximum $1,720

Range $1,320

Interquartile Range $690

Skewness .633 .343

Kurtosis -.908 .674

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Question 1(b) i

Gender

Descriptives

Gender Statistic Std. Error

Weekly ordinary time salary

(excluding paid overtime,

etc.)

Male

Mean $852.04 $68.201

95% Confidence Interval for

Mean

Lower Bound $711.58

Upper Bound $992.50

5% Trimmed Mean $835.81

Median $810.00

Variance 120936.438

Std. Deviation $347.759

Minimum $420

Maximum $1,590

Range $1,170

Interquartile Range $461

Skewness .693 .456

Kurtosis -.398 .887

Female

Mean $900.32 $97.397

95% Confidence Interval for

Mean

Lower Bound $697.77

Upper Bound $1,102.87

5% Trimmed Mean $882.93

Median $680.00

Variance 208694.703

Std. Deviation $456.831

Minimum $400

Maximum $1,720

Range $1,320

Interquartile Range $781

Skewness .537 .491

Kurtosis -1.383 .953

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(b) (ii)

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Manager s and non managers

Descriptives

Position Statistic Std. Error

Weekly ordinary time salary

(excluding paid overtime,

etc.)

Manager

Mean $929.13 $78.629

95% Confidence Interval for

Mean

Lower Bound $766.47

Upper Bound $1,091.78

5% Trimmed Mean $915.60

Median $810.00

Variance 148381.853

Std. Deviation $385.204

Minimum $400

Maximum $1,720

Range $1,320

Interquartile Range $537

Skewness .672 .472

Kurtosis -.614 .918

Non-Manager

Mean $819.21 $83.796

95% Confidence Interval for

Mean

Lower Bound $645.86

Upper Bound $992.55

5% Trimmed Mean $797.04

Median $535.00

Variance 168522.346

Std. Deviation $410.515

Minimum $420

Maximum $1,630

Range $1,210

Interquartile Range $735

Skewness .727 .472

Kurtosis -1.057 .918

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(b) (iii)

Three levels of job security

Descriptives

Perception of Job Security at Conrobar Statistic Std. Error

Weekly ordinary time salary

(excluding paid overtime,

etc.)

Insecure

Mean $849.71 $134.949

95% Confidence Interval for

Mean

Lower Bound $558.17

Upper Bound $1,141.25

5% Trimmed Mean $826.35

Median $680.00

Variance 254958.066

Std. Deviation $504.934

Minimum $400

Maximum $1,720

Range $1,320

Interquartile Range $1,026

Skewness .950 .597

Kurtosis -.960 1.154

Secure

Mean $886.70 $76.375

95% Confidence Interval for

Mean

Lower Bound $726.85

Upper Bound $1,046.55

5% Trimmed Mean $872.17

Median $867.50

Variance 116662.011

Std. Deviation $341.558

Minimum $500

Maximum $1,535

Range $1,035

Interquartile Range $668

Skewness .467 .512

Kurtosis -.995 .992

Very Secure Mean $880.71 $101.922

95% Confidence Interval for

Mean

Lower Bound $660.53

Upper Bound $1,100.90

5% Trimmed Mean $873.02

Median $860.00

Variance 145433.143

Std. Deviation $381.357

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Minimum $420

Maximum $1,480

Range $1,060

Interquartile Range $846

Skewness .380 .597

Kurtosis -1.177 1.154

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Question 2 (a)

Descriptives

Statistic Std. Error

Job satisfaction. Rating from

0 to 20.

Mean 13.67 .369

95% Confidence Interval for

Mean

Lower Bound 12.92

Upper Bound 14.41

5% Trimmed Mean 13.76

Median 14.00

Variance 6.525

Std. Deviation 2.554

Minimum 8

Maximum 18

Range 10

Interquartile Range 4

Skewness -.322 .343

Kurtosis -.441 .674

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Job sta is a categorical data not numerical continuous data and therefore histogram cannot be produced ( it’s a bar chart)

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Question 2b(1)

Descriptives

Gender Statistic Std. Error

Job satisfaction. Rating from

0 to 20.

Male

Mean 14.50 .471

95% Confidence Interval for

Mean

Lower Bound 13.53

Upper Bound 15.47

5% Trimmed Mean 14.67

Median 15.00

Variance 5.780

Std. Deviation 2.404

Minimum 9

Maximum 17

Range 8

Interquartile Range 4

Skewness -.833 .456

Kurtosis .128 .887

Female

Mean 12.68 .516

95% Confidence Interval for

Mean

Lower Bound 11.61

Upper Bound 13.75

5% Trimmed Mean 12.65

Median 13.00

Variance 5.846

Std. Deviation 2.418

Minimum 8

Maximum 18

Range 10

Interquartile Range 3

Skewness .122 .491

Kurtosis .630 .953

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Descriptives

Position Statistic Std. Error

Job satisfaction. Rating from

0 to 20.

Manager

Mean 13.88 .501

95% Confidence Interval for

Mean

Lower Bound 12.84

Upper Bound 14.91

5% Trimmed Mean 13.93

Median 14.00

Variance 6.027

Std. Deviation 2.455

Minimum 9

Maximum 18

Range 9

Interquartile Range 4

Skewness -.247 .472

Kurtosis -.408 .918

Non-Manager

Mean 13.46 .548

95% Confidence Interval for

Mean

Lower Bound 12.32

Upper Bound 14.59

5% Trimmed Mean 13.56

Median 14.00

Variance 7.216

Std. Deviation 2.686

Minimum 8

Maximum 17

Range 9

Interquartile Range 5

Skewness -.361 .472

Kurtosis -.425 .918

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Question 2b (3)

Descriptives

Perception of Job Security at Conrobar Statistic Std. Error

Job satisfaction. Rating from

0 to 20.

Insecure

Mean 12.07 .286

95% Confidence Interval for

Mean

Lower Bound 11.45

Upper Bound 12.69

5% Trimmed Mean 12.02

Median 12.00

Variance 1.148

Std. Deviation 1.072

Minimum 11

Maximum 14

Range 3

Interquartile Range 2

Skewness .714 .597

Kurtosis -.524 1.154

Secure

Mean 13.80 .683

95% Confidence Interval for

Mean

Lower Bound 12.37

Upper Bound 15.23

5% Trimmed Mean 13.94

Median 14.50

Variance 9.326

Std. Deviation 3.054

Minimum 8

Maximum 17

Range 9

Interquartile Range 4

Skewness -.886 .512

Kurtosis -.315 .992

Very Secure Mean 15.07 .529

95% Confidence Interval for

Mean

Lower Bound 13.93

Upper Bound 16.21

5% Trimmed Mean 15.08

Median 15.00

Variance 3.918

Std. Deviation 1.979

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Minimum 12

Maximum 18

Range 6

Interquartile Range 3

Skewness -.184 .597

Kurtosis -1.210 1.154

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Question 3

Weekly Salary vs EduYears

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Weekly Salary vs AtConrobar

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Productivity vs AtConrobar

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Overtime vs Age

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Productivity vs WeekSalary

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Days absent versuse age

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Productivity versuse days absents

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Weeksalary vrsuse age

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Question 4

Descriptives

Gender Statistic Std. Error

Years of education

Male

Mean 13.00 .511

95% Confidence Interval for

Mean

Lower Bound 11.95

Upper Bound 14.05

5% Trimmed Mean 12.85

Median 12.00

Variance 6.800

Std. Deviation 2.608

Minimum 10

Maximum 19

Range 9

Interquartile Range 4

Skewness .850 .456

Kurtosis -.279 .887

Female

Mean 14.55 .525

95% Confidence Interval for

Mean

Lower Bound 13.45

Upper Bound 15.64

5% Trimmed Mean 14.33

Median 14.00

Variance 6.069

Std. Deviation 2.464

Minimum 12

Maximum 21

Range 9

Interquartile Range 2

Skewness 1.674 .491

Kurtosis 2.884 .953

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Question 5

Descriptives

Gender Statistic Std. Error

Days absent as taken as

Personal Leave. Maximum

of 5 days allowed.

Male

Mean 2.935 .3534

95% Confidence Interval for

Mean

Lower Bound 2.207

Upper Bound 3.662

5% Trimmed Mean 2.983

Median 3.500

Variance 3.247

Std. Deviation 1.8020

Minimum .0

Maximum 5.0

Range 5.0

Interquartile Range 3.6

Skewness -.351 .456

Kurtosis -1.459 .887

Female

Mean 1.727 .3454

95% Confidence Interval for

Mean

Lower Bound 1.009

Upper Bound 2.445

5% Trimmed Mean 1.641

Median 1.250

Variance 2.624

Std. Deviation 1.6199

Minimum .0

Maximum 5.0

Range 5.0

Interquartile Range 3.1

Skewness .858 .491

Kurtosis -.499 .953

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5b

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Question 6 (a)

Descriptives

Statistic Std. Error

Productivity Performance -

100% as base

Mean 98.860 .6349

95% Confidence Interval for

Mean

Lower Bound 97.583

Upper Bound 100.138

5% Trimmed Mean 98.825

Median 98.000

Variance 19.349

Std. Deviation 4.3988

Minimum 91.2

Maximum 107.0

Range 15.8

Interquartile Range 7.4

Skewness .221 .343

Kurtosis -.975 .674

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(b)

Descriptives

Gender Statistic Std. Error

Productivity Performance -

100% as base

Male

Mean 99.981 .7791

95% Confidence Interval for

Mean

Lower Bound 98.376

Upper Bound 101.585

5% Trimmed Mean 99.850

Median 98.050

Variance 15.783

Std. Deviation 3.9728

Minimum 95.3

Maximum 107.0

Range 11.7

Interquartile Range 6.7

Skewness .632 .456

Kurtosis -1.161 .887

Female

Mean 97.536 .9799

95% Confidence Interval for

Mean

Lower Bound 95.499

Upper Bound 99.574

5% Trimmed Mean 97.478

Median 96.300

Variance 21.125

Std. Deviation 4.5962

Minimum 91.2

Maximum 105.0

Range 13.8

Interquartile Range 8.8

Skewness .207 .491

Kurtosis -1.531 .953

( c) ( see lecture 8), do not copy word for word. (d)

n= z2 s2

ME2

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Question 7 (a)

Descriptives

Statistic Std. Error

Age of respondent

Mean 36.46 1.651

95% Confidence Interval for

Mean

Lower Bound 33.14

Upper Bound 39.78

5% Trimmed Mean 36.43

Median 36.00

Variance 130.849

Std. Deviation 11.439

Minimum 17

Maximum 58

Range 41

Interquartile Range 20

Skewness -.038 .343

Kurtosis -1.082 .674

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(b)

Descriptives

Position Statistic Std. Error

Age of respondent

Manager

Mean 38.42 1.997

95% Confidence Interval for

Mean

Lower Bound 34.29

Upper Bound 42.55

5% Trimmed Mean 38.73

Median 38.50

Variance 95.732

Std. Deviation 9.784

Minimum 18

Maximum 53

Range 35

Interquartile Range 15

Skewness -.469 .472

Kurtosis -.377 .918

Non-Manager

Mean 34.50 2.611

95% Confidence Interval for

Mean

Lower Bound 29.10

Upper Bound 39.90

5% Trimmed Mean 34.19

Median 30.50

Variance 163.652

Std. Deviation 12.793

Minimum 17

Maximum 58

Range 41

Interquartile Range 21

Skewness .360 .472

Kurtosis -1.192 .918

(C) See lecture 8

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Question 8

H0: µ = 45

HA : µ ≠ 45

One-Sample Test

Test Value = 45

t df Sig. (2-tailed) Mean Difference 95% Confidence Interval of the

Difference

Lower Upper

Age of respondent -5.173 47 .000 -8.542 -11.86 -5.22

p-value

Assume α = 0.05

If p-value < α, Reject the null hypothesis in favour of the alternative hypothesis, HA

(and the memorandum)

Conclusion:

There is insufficient evident to suggest that the mean age of all employees nationwide working in similar industries to Conrobar is 45 years.