This website uses cookies to ensure you have the best experience. Learn more

Professor Salaries Statistical Analysis

1296 words - 6 pages

Professor Salaries Investigation

This report will analyze professor salaries at an unnamed college for the nine-month school year of 2008-2009. The source of the data set is an excel file taken from the book, An R Companion to Applied Regression, Second Edition Sage, written by John Fox and Sanford Weisberg. The data set contains salary statistics for all full time professors, therefore, the data set is a population. The conclusions reached in this data analysis will be for the entire population of full time professors at this one unnamed college. The data set contains 255 observations and five variables. The variables are discipline of the professor as theoretical or applied, years of ...view middle of the document...

and the proportion of females in the population can be found using the same equation:
p̂ = number of femalestotal number = 18255 = 0.07.
The proportions can then be input into a frequency table:
Gender - Frequency Table |
Response | Relative Frequency |
Male | 0.93 |
Female | 0.07 |
Total | 1.00 |

The proportion of males in the population is a substantial amount at 93 percent.
We now will conduct a mean and median salary comparison for males and females. The mean and median are used to find the center of a single quantitative variable. The mean is calculated using the equation:
x̅ = Σxn
This equation is used for the population, males, and females and is summarized in the following table:
| mean | median |
population | 126,606 | 123,683 |
male | 126,958 | 124,309 |
female | 121,968 | 120,258 |

The results show us that the mean and median female salary is lower than that of the population and male salaries roughly four percent. This is not a substantial amount, and we conclude that this small discrepancy is due to the fact that male salaries make up 93 percent of the population. We would need more information about each observation to discern the reason some males have higher salaries than the females in the population.
To measure the dispersion about the mean salary levels we need to create a histogram for each of the male and female salaries. To create a histogram for population, ranges of salary data will first need to be made. To create a histogram that clearly shows the shape of the salary data there needs to be around five to ten salary ranges. With the salaries in the population a good salary range is considered $20,000. With this data, the histograms for each of the population, male, and female salaries are below:

The results of the histograms for the population, males, and females show a normal distribution about the center of the salary data.
The standard deviation is also used to determine the spread of data. To calculate the standard deviation the following equation is used:
σ = Σ(x-x)2n-1
The standard deviation for each of the population, male, and female salaries are summarized below:
| standard deviation |
population | 27,617 |
male | 28,129 |
female | 19,067 |

The standard deviation for female salaries shows that the data is not as spread out as the population or male salaries. This result supports the comparison of the histograms where the female graph looks more compact than the others. The means of male and female salaries are comparable but salaries for females are just less distributed. As stated before, this can be explained by the fact that females make up only 7 percent of the population.
Based on the results of the mean and median comparison and the...

Other Papers Like Professor Salaries Statistical Analysis

BUS 308 Statistics for Managers Complete Week 1 to 5

693 words - 3 pages intersect? 5. How do you interpret these results in light of our equity question? Discussion 1: Confidence Intervals Discussion 2: Chi-Square Tests Quiz (03 Sets) WEEK 5 Final Paper: Identify an issue in your life (work place, home, social organization, etc.) where a statistical analysis could be used to help make a managerial decision. Develop a sampling plan, an appropriate set of hypotheses, and an inferential statistical

Dr. Kaoru Ishikawa Research Paper

889 words - 4 pages Dr. Kaoru Ishikawa Research Paper Jennifer Ledbetter Total Quality Management Professor: Harry Ekholm November 13, 2011 Dr. Kaoru Ishikawa is one of the world`s primary leader on quality control. Ishikawa has influenced quality practices throughout the world, with his education background and ideas towards Total Quality Management have sharped TQM and are still used today. Ishikawa has helped thousands of companies, including IBM

Quality Management

914 words - 4 pages infections? According to the Table 8.8, the average percentage of infections is 67.94% (55 / 8,095). 2. Construct an appropriate control chart, compute the upper and lower control limits, plot the data on a control chart, and determine if the process is in statistical control. Based on your analysis, what action, if any, should management take? Since the population for each month is not constant, I select p-chart to calculate the

Business Stats Paper

874 words - 4 pages includes 30 measurements of the NHL team’s salary. The detailed salary per team was measured by Spotrac. The variables in the data set are Forward Salary, Defense Salary, Goaltender Salary, Total Salary, and Cap Space. The data was collected from (Spotrac, 2015) 2. I performed the statistical analysis on each quantitative variable to gather the most accurate information possible. 3. The information collected for the statistical analysis

Smallburg Community Bank

508 words - 3 pages Abstract Mrs. Mary Roberts, CEO of Smallburg Bank, begins her staff meeting by reviewing the recent findings of a survey of customers conducted for the bank by a professor at the local college. This paper will focus on the problem at hand. In September 1990, the CEO of Smallberg Bank, Mary Roberts, reviewed the recent findings of a survey of customers conducted for the bank by a professor at the local college

Quantitative Methods And Analysis Ip U1

891 words - 4 pages , cat two weighs fifteen pounds. In this situation, the descriptive statistics are relatively useless when calculating gender (the qualitative data). The mean, mode, standard deviation and count are important in the quantitative data analysis because these types of statistical information hold value in the decision-making process. These statistics give the company a clear understanding of where their employees’ intrinsic job satisfaction lies


4284 words - 18 pages ISSN 1940-204X Bridgestone Behavioral Health Center: Cost-Volume-Profit (CVP) Analysis for Planning and Control A. Ronald Kucic University of Denver INTRODUCTION Thomas: In reality, securing some outside assistance seems James E. Sorensen University of Denver Lisa M. Victoravich University of Denver In June of the current year Dr. Thomas Russell, Executive Director, and Susan Smyth, Accountant, at the Bridgestone Behavioral Health

Regression Analysis

1459 words - 6 pages Professor Department of Marketing University Of Dhaka Subject: Submission of a Report on regression analysis Dear Sir, Here is our term paper on regression analysis that you have assigned us to submit as a partial requirement for the course –“Business Statistics 1” Code no-212.While preparing this term paper; we have taken help from internet, books, class lectures and relevant sources. Though we have tried best yet it may contain some

Bridgestone Case

4241 words - 17 pages truly exists. If such a diagnosis is established, it is necessary to determine the extent or severity of disease, if there is a need for medical detoxification, and the services or level of care required to safely and successfully achieve sobriety. the needs of adults, children, and adolescents exhibiting symptoms associated with a Diagnostic and Statistical Manual of Mental Disorders, Fourth Edition, (DSM-IV) diagnosis. (DSM-V is expected in 2013

Pricing Navigation Systems

1075 words - 5 pages Assignment 2: Price Analysis for the Navigation System Robert Gonzalez Professor Stephen Bartorillo BUS 315: Cost and Price Analysis July 26, 2015 Analyze your company’s cost classification for pricing of the navigation system. Defend your cost classification to the US government. Considering that our only competitor in the field of navigation systems is VectorCal, it was important for us to carefully determine pricing that was, not only

Institutional Research

640 words - 3 pages faculty and staff members and plans for bigger facilities as well as accreditation reviews and statistical analysis. How does the institutional research (IR) office support decision-making? The growth in institutional computing capacity has created vast resources of data for colleges and universities. Converting those data into information for use in campus decision-making has defined the work of institutional researchers for several decades (Swing

Related Essays

Res 342 Regression Paper

1165 words - 5 pages Running head: REGRESSION Regression Names RES/342 - Research and Evaluation II Date Professor Table of contents Executive Summary 3 Dataset 3 Data Observations 3 Statistical Analysis 4 Conclusion 4 Dataset for the 2004 season 5 Regression Analysis taking LOG (Y) 6 Regression Analysis 8 Executive

Business Schools Of Asia Pacific Essay

2606 words - 11 pages $41,400. The lowest starting salaries are from Jamnalal Bajaj Institute of Management Studies (Bombay) at $7000, with the highest starting at $87,000 from International University of Japan (Niigata). From the data shown in Statistical Analysis Table 2, we can infer the following about each qualitative variable set: 73% of the institutions required Work Experience, while 54% required the students to take the GMAT. 42% of the institutions required

Data And Statistics Essay

4897 words - 20 pages . A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 21 years. This is an example of a.|a census| b.|descriptive statistics| c.|an experiment| d.|statistical inference| ANS: D PTS: 1 50. The owner of a factory regularly requests a graphical summary of all employees' salaries. The graphical summary of salaries

Impact Of High Staff Turnover On Divisional Performance At Limpopo Economic Development Agency

2949 words - 12 pages that the following factors are the causes of staff turnover at LEDA: inadequate equipment and tools at the work stations, lack of proper induction of new employees, lack of training of employees as per training need analysis and the salaries of the agency are not market related. Statistical analysis for significant test from the Chi Squared value calculated (7.754) was less than the critical Chi Squared value (9.488) at 5% level of significance