MANUFACTURING2IntroductionStatistics is a branch of mathematics which is used to collect, analyze, interpret, and present the data. It is a tool which is utilized by an entity in order to make certain decisions. One can easily apply the statistical methods to know the efficiency of the data. The scenario selected for the assignment is manufacturing database. The data comprises of 20 types of industries and 140 subindustries of the United States like food products, textile mill products, furniture, etc. The 6 variables given for analysis are number of production workers, number of employees, cost of material, the industry group, end-of-year inventories, and value added by manufacture. (Black, 2017)The report will work on the data sets to address certain objectives. The first objective will be to determine the mean number of production workers and construct 95% confidence interval for the main number of production workers. The second objective is to test the belief of the alternate hypothesis for the assumption that the average number of employees per industry is less than 150. The third objective is to know if there is a significant difference between mean value added by the manufacturer and the mean cost of material. The last objective is to know if there is significantly greater variance among the values of cost of material and end-of-your inventories.The population given in this case is the industries in the US related to rubber products,transportation equipment, Chemicals, food products, furniture, etc. In the sample of the studying is 140 subindustries in the US categorized in 20 heads. The SIC Code is qualitative data. Similarly, industry group will also a qualitative data which represents the type of industry from 1 to 20. Number of employees, number of production workers, cost of materials, value added by the manufacturer, and end of year inventories are quantitative data because they involve the numerical numbers. The SIC code
MANUFACTURING3and industry group are nominal level measurement. Number of employees, number of production workers, cost of materials, value added by the manufacturer, and end of year inventories are ratio level of measurement.