# Statistics Homework

Case Study of ZYX Incorporated

Case Study of ZYX Incorporated

Executive Summary

The below details is a summary of the research and findings that was completed by Team B Enterprises. This study was conducted with the employees to determine the job satisfaction and stress level of the recently announced move to a new location This will also include the determination of employee morale, address the complaints that were brought to the attention of human resources, discuss turnover rate, sick leave, absenteeism, and job satisfaction. Ultimately, this study will outline the findings of the survey to include the necessary details to move forward with a stepped approach to the make the upcoming move seamless. We developed a questionnaire that measures one's stress level and jobs satisfaction on the following demographic characteristics: occupation, income, education, commute time and gender. This will also include details pertaining to improving the challenges of the organization such as job satisfaction and employee morale to turn the culture of the organization into what the company is all about.

About the company: ZYX is a publicly owed electronics-manufacturing firm. The firm has 1,500 employees and started it's operation is 1965 by it's current president and CEO Bob Imdaman. ZYX went public in 1981 and its stock trades on the NASDAQ.

Phase I: Research Preparation

Problem Statement

The challenge the organization faces the moral of the organization and how the turnover has a direct impact to the bottom line and how the costs of training new individuals are not cost effective. Also, with this future move for the organization, more and more individuals are calling in sick and there is an increase level of absenteeism. The goal is to improve morale, reduce turnover and increase job satisfaction.

Research Questions

RQ1: Which position is feeling the least stress and Job Sat?

RQ2: Which gender is showing less job satisfaction, female or male?

RQ3: Is there a correlation of job satisfaction to education?

Table 1

Variables in the ZYX Case Study

Variable Typical Value Level of Measurement (Attribute/Numeric)

Position Title Attribute

Income < $25k Numeric

Education Bachelors Attribute

Commute < 30 min Numeric

Gender Male, Female Attribute

Job Sat. 56 Numeric

Stress 10 Numeric

Interest 2 (coded) Attribute

Table 2

Research Question Variables

Research Question Independent Variable Dependent Variable

Which position is feeling the least stress and Job Sat? X

Which gender is showing less job satisfaction, female or male? X

Is there a correlation of job satisfaction to education? X

Phase II: Descriptive Analysis

Summary Measure of Attribute Variables

Table 3

Summary Measure of Position

Position Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

Administrative 36 36 0.141176 0.141176

Blue Collar 13 49 0.05098 0.192157

Managerial 52 101 0.203922 0.396078

Professional 128 229 0.50961 0.898039

Other 26 255 0.101961 1

Total 255 670 1 2.627451

Table 4

Summary Measure of Income

Income Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

<$25k 39 79 0.15294 0.15294

$25k - $35k 73 152 0.28627 0.439216

$36k - $45k 71 223 0.27843 0.717647

$46k - $55k 36 259 0.14118 0.858824

$56k - $65k 16 275 0.06275 0.921569

>$65k 20 988 0.07843 1.000000

Total 255 1976 1.00000 4.090196

Table 5

Summary Measure of Education

Education Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

High School 23 23 0.090196 0.090196

AA 85 108 0.333333 0.423529

Bachelors 114 222 0.447059 0.870588

Masters 28 250 0.109804 0.980392

Doctorate 5 255 0.019608 1

Total 255 858 1 3.27451

Table 6

Summary Measure of Commute Time

Commute Time Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

<30 min 175 175 0.589226 0.589226

30 min - 1 Hr 80 80 0.26936 0.858586

1.1 - 2 Hrs 25 280 0.084175 0.942761

2.1 - 3 Hrs 17 297 0.57239 1

Total 297 832 1 2.801347

Table 7

Summary Measure of Gender

Gender Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

Female 116 116 0.454902 0.454902

Male 139 255 0.545098 1

Total 255 371 1 1.454902

Table 8

Summary Measure of Interest

Interest Frequency, f Cumulative Frequency, Cf Relative Frequency, Rf Cumulative Rf

1 Strongly Agree 79 79 0.262485 0.262485

2 Agree 77 156 0.255814 0.518272

3 No Opinion 31 187 0.10299 0.621262

4 Disagree 35 222 0.116279 0.737542

5 Str. Disagree 79 301 0.262458 1

Total 301 945 1 2.877076

Summary Measure of Numeric Variables

Table 9

Summary Measure of Job Satisfaction

Central Tendency

n Mean Median Mode

255 62.20 63 61.00

Dispersion

Std Dev Variance Range Min/Max

11.96 143 70 19/89

Table 10

Summary Measure of Stress

Central Tendency

n Mean Median Mode

255 25.67 20.00 10

Dispersion

Std Dev Variance Range Min/Max

22.74 517.27 120 0/120

Histograms of Job Satisfaction and Stress

Job satisfaction see appendix A.

Work related Stress see appendix B

Findings (what does this mean)

Phase III: Chi-Square

Relationship Between Respondent's Interest and Demographics

Analysis Unit One employee

Sample Size

Target Population

Research Question

Chi-Square Findings (See Appendix B for details)

Chi-Square Position Income Education Commute Gender

Hypothesis Ho:

H1:

Significance Level 0.05 0.05 0.05 0.05 0.05

Test statistic Χ2

p-Value

Decision

Analysis

Phase IV: ANOVA

Relationship Between Stress Level and Demographics

Analysis Unit

Sample Size

Target Population

Research Question

ANOVA Findings (See Appendix C for details)

ANOVA Position Income Education Commute Gender

Hypothesis Ho:

H1:

Significance Level 0.05 0.05 0.05 0.05 0.05

p-Value

Decision

Analysis

Phase V: Regression Analysis

Relationship Between Respondent's Job Satisfaction and Stress

Analysis Unit

Sample Size

Target Population

Research Question

Regression Findings (See Appendix D for details)

Regression

r

R2

Hypothesis Ho:

H1:

Significance Level 0.05

p-Value

Decision

Analysis

a. Describe the relationship between Job Satisfaction and Stress.

b. Can you mathematically predict an employee's job satisfaction based on their stress level (Give an illustration, assuming that an employee has a stress level of 20.)?

c. How Reliable is this prediction (consider, P-value, r and R-squared)?

Appendix A

Descriptive statistics For Job Sat

JobSat

count 255

mean 62.20

sample variance 143.00

sample standard deviation 11.96

minimum 19

maximum 89

range 70

1st quartile 55.50

median 63.00

3rd quartile 71.00

interquartile range 15.50

mode 61.00

low extremes 0

low outliers 4

high outliers 0

high extremes 0

Frequency Distribution - Quantitative - Job Sat

JobSat cumulative

lower upper midpoint width frequency percent frequency percent

10 < 20 15 10 1 0.4 1 0.4

20 < 30 25 10 1 0.4 2 0.8

30 < 40 35 10 10 3.9 12 4.7

40 < 50 45 10 28 11.0 40 15.7

50 < 60 55 10 60 23.5 100 39.2

60 < 70 65 10 78 30.6 178 69.8

70 < 80 75 10 63 24.7 241 94.5

80 < 90 85 10 14 5.5 255 100.0

255 100.0

Appendix b

Descriptive statistics For Stress

Stress

count 255

mean 25.67

sample variance 517.27

sample standard deviation 22.74

minimum 0

maximum 120

range 120

1st quartile 10.00

median 20.00

3rd quartile 35.00

interquartile range 25.00

mode 10.00

low extremes 0

low outliers 0

high outliers 12

high extremes 1

Frequency Distribution - Quantitative - Stress

Stress cumulative

lower upper midpoint width frequency percent frequency percent

0 < 10 5 10 50 19.6 50 19.6

10 < 20 15 10 62 24.3 112 43.9

20 < 30 25 10 56 22.0 168 65.9

30 < 40 35 10 28 11.0 196 76.9

40 < 50 45 10 20 7.8 216 84.7

50 < 60 55 10 15 5.9 231 90.6

60 < 70 65 10 9 3.5 240 94.1

70 < 80 75 10 2 0.8 242 94.9

80 < 90 85 10 7 2.7 249 97.6

90 < 100 95 10 3 1.2 252 98.8

100 < 110 105 10 1 0.4 253 99.2

110 < 120 115 10 1 0.4 254 99.6

120 < 130 125 10 1 0.4 255 100.0

255 100.0

References

Lind, D. A., Marchal, W. G., & Wathen, S. A. (2005). Statistical techniques in business and economics (12th ed.). New York: McGraw-Hill.

Appendix A

Chart A1

Histogram of Job Satisfaction & Stress

Appendix B

Chi-Square Calculations

Appendix C

ANOVA Calculations

Appendix D

Regression Calculations

https://brainmass.com/statistics/probability/anova-regression-calculations-285440

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