Mean salaries after BA degrees in accounting Introduction: We are interesting in finding the mean salaries of the employee after the education of BA degrees in accounting. By using the data for randomly collected sample, we want to find out the mean salary of the BA degrees in accounting. For the analysis of the data, the statistical analysis plays an important role. We have to analyse the data by using the different statistical methods. We have to see the descriptive statistics such as mean, mode, median, minimum, maximum, standard deviation for the variable salary of the employee after BA degrees in accounting. The study of the descriptive statistics gives us the general idea about the given data. Let us see this study in detail explained in the next topics. Research Question For any research study, it is important to establish the research questions. For this study we want to find out the descriptive statistics for the salaries for employee who completed their BA degrees in accounting. Also, we want to find the significant difference between the average salary for the male and female by using the simple descriptive statistics. Data Collection For this research study, it is important to collect the data for finding the average salaries. For the purpose of the data collection, we collect the data for the random sample of size 150 employee from different work places. A random sample is selected by using the stratified random sampling as we consider the different types of industries as a stratum. The population under study is considered as the all employee in the USA who completed their BA degree in accounting. The data is collected for the variables salary and the gender of the employee. The detailed data is given in the appendix section. Statistical Analysis In this topic, we have to see the descriptive statistics for the salaries for the employee in the USA who completed their BA degree in accounting. The descriptive statistics for the variable annual salary in thousand $ is summarised as below: Descriptive Summary Mean Annual salary 000'$ 73.46666667 Median Mode Minimum Maximum Range Variance Standard Deviation Coeff. of Variation Skewness Kurtosis Count Standard Error 76 91 40 107 67 423.3244 20.5748 28.01% -0.0162 -1.3426 150 1.6799 It is found that the average salary for the employee who completed their BA degrees in accounting is given as $73467 with standard deviation of $20575. The median salary for the employees who completed their BA degrees in the accounting is given as $76000 while mode salary is given as $91000. The minimum salary is found as the $40000 per annum while the maximum salary is observed as the $107000 per annum. Now, we have to see the histogram for the variable salary which is given as below: From this histogram, it is observed that there is no any specific pattern of distribution is followed by the salaries for the employees who completed their BA degrees in accounting. Now, we want to find out the average salaries for male and females which is summarised as below: Group Statistics Gender of the employee salaries after BA degrees in accounting N Mean Std. Deviation Std. Error Mean Female 87 72.0805 20.58404 2.20684 Male 63 75.3810 20.57200 2.59183 From the above table, it is found that the average salaries for the male is greater than the average salary of the females. Conclusions 1. It is found that the average salary for the employee who completed their BA degrees in accounting is given as $73467 with standard deviation of $20575. 2. The median salary for the employees who completed their BA degrees in the accounting is given as $76000 while mode salary is given as $91000. 3. The minimum salary is found as the $40000 per annum while the maximum salary is observed as the $107000 per annum. 4. It is found that the average salaries for the male is greater than the average salary of the females. References Schervish, Mark, J., (1995). Theory of statistics. New York: Springer Moses, Lincoln, E., (1986). Think and Explain with Statistics, Addison-Wesley Hays, William, L., (1973). Statistics for the Social Sciences, Holt, Rinehart and Winston Appendix The data set for this research study is given as below: No. 1 2 3 4 5 6 7 8 9 10 11 12 Annual salary $ 99 67 98 41 82 70 41 50 89 77 78 103 Gender 1 1 0 0 0 0 0 0 0 1 0 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 100 58 86 48 97 91 91 44 85 41 89 54 48 90 105 62 89 84 64 83 66 63 77 91 74 54 79 57 53 92 91 84 86 80 63 101 49 88 55 76 81 67 92 57 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 89 54 95 47 79 62 43 64 72 98 79 77 104 105 97 107 84 40 93 104 68 76 107 75 93 60 102 49 79 48 104 44 104 53 95 49 60 99 91 65 47 59 44 45 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 92 41 81 68 96 49 73 42 66 96 48 58 49 62 60 63 100 106 78 88 43 55 100 91 103 47 47 45 53 58 96 52 104 92 90 63 71 59 41 49 53 80 45 106 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 145 146 147 148 149 150 53 85 80 86 62 106 1 1 1 1 0 0 Running head: Global Temperature Analysis 1 Statistical Analysis of Global Temperatures for November Johnny Student MTH140 ECPI University Global Temperature Analysis 2 Introduction The first part of your paper should introduce your topic and state your hypothesis based on your interpretation of the data sample data you selected. Descriptive Statistics In this section, Part B of your project, you will discuss your results based on the calculations of the mean(s), variance(s), and standard deviation(s). Everything that needs to be included in this section can be found in the Course Project Overview located in the Course Information of this course. Make sure that you include the sample data and graphs within the text of the paper. For example, Table 1 (below) represents global temperature averages between 1979 and 2013. Table 1 Global Temperature Data Year Temp (K) 1979 286.5 1980 286.5 1981 286.4 1982 286.3 1983 286.5 1984 286.2 1985 286.3 1986 286.3 1987 286.5 1988 286.3 1989 286.3 1990 286.6 1991 286.4 1992 286.1 1993 286.3 1994 286.6 1995 286.6 1996 286.6 1997 286.8 1998 286.5 1999 286.4 2000 286.4 2001 286.8 2002 286.7 2003 286.7 Temp(C) 13.3 13.3 13.2 13.1 13.3 13.1 13.1 13.2 13.3 13.2 13.2 13.5 13.3 13.0 13.1 13.4 13.4 13.4 13.6 13.3 13.3 13.3 13.7 13.5 13.5 Temp (F) 56.0 56.0 55.8 55.6 56.0 55.5 55.6 55.7 56.0 55.7 55.7 56.2 55.9 55.4 55.6 56.2 56.2 56.2 56.5 56.0 55.9 55.9 56.6 56.4 56.4 Deviation (x-) -0.1 -0.1 -0.4 -0.5 -0.1 -0.6 -0.5 -0.4 -0.2 -0.5 -0.4 0.1 -0.2 -0.8 -0.5 0.0 0.1 0.1 0.4 -0.1 -0.2 -0.2 0.5 0.3 0.3 (x-)2 0.01 0.01 0.13 0.26 0.01 0.39 0.24 0.16 0.03 0.20 0.17 0.01 0.06 0.56 0.29 0.00 0.01 0.00 0.13 0.02 0.04 0.06 0.26 0.07 0.07 Global Temperature Analysis 3 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 286.8 286.9 286.8 286.7 286.7 286.8 286.8 286.6 286.9 286.8 13.7 13.7 13.7 13.5 13.6 13.7 13.7 13.5 13.7 13.7 56.6 56.7 56.6 56.3 56.5 56.6 56.6 56.2 56.7 56.6 Averages (mean) ssx (sum of squares) N (sample size) 2 (variance) (standard deviation) 286.6 13.4 0.4 0.6 0.5 0.2 0.3 0.5 0.5 0.1 0.6 0.5 0.19 0.37 0.23 0.03 0.12 0.22 0.25 0.01 0.31 0.23 56.1 5.16 35 0.148 0.384 Using the data provided, the mean of each year is graphed in Figure 1. (Be sure to explain your results). Temp (F) Global Temperature Averages For November 57.0 56.5 56.0 55.5 55.0 54.5 Temp (F) Figure 1. Global temperature averages between 1979 and 2013. The standard deviation for the global temperatures is shown in Figure 2. (Be sure to explain your results). Global Temperature Analysis 4 1.0 0.5 Deviation of Temp 2013 2011 2009 2007 2005 2003 2001 1999 1997 1995 1993 1991 1989 1987 1985 1983 -0.5 1981 0.0 1979 Deviation of Temp Global Temperature Deviation for November -1.0 Figure 2. Standard deviation of global temperatures between 1979 and 2013. Confidence Intervals In this section, Part C of your project, you will need to calculate the 90%, 95%, and 99% confidence intervals of your data and explain your results. Correlations and Regressions In this section, Part D of your project, you will need to include the linear regression and correlation information of the data. In Figure 3, the linear regression of the global temperature data is shown. Explain your results. Linear Regression of Global Temperature Data y = 0.0296x - 59.036 R = 0.5873 1 0.5 0 -0.5 -1 Figure 3. Linear regression of global temperature data between 1979 and 2013. Conclusion In the final section of your project, Part E, you will include the results from your hypothesis test and explain your results. This is where you will summarize your results and state your conclusions based the interpretation of the data, calculations, and testing. Global Temperature Analysis 5 References ECMWF. (2014) ECMWF Data Server. Retrieved on 7/28/14. Retrieved from http://data-portal.ecmwf.int Wolter, K., and M.S. Timlin, 1993: Monitoring ENSO in COADS with a seasonally adjusted principal component index. Proc. of the 17th Climate Diagnostics Workshop, Norman, OK, NOAA/NMC/CAC, NSSL, Oklahoma Clim. Survey, CIMMS and the School of Meteor., Univ. of Oklahoma, 52-57. Wolter, K., and M.S. Timlin, 1998: Measuring the strength of ENSO events - how does 1997/98 rank? Weather,53, 315-324