Statistics Assignments
Assignment-W13
Question 1 Statistical data analysis involves the application of various statistical methods in analyzing and deriving inferences from data. Mainly, statistical methods are useful for communicating the research findings and supporting the research hypotheses. Consequently, the methods and analyses ensure that the research methodology and the conclusions of a research are credible. Concisely, the statistical data analysis helps to obtain usable and useful information from data. At a basic level, statistical methods help in describing and summarizing data, identifying variable relationships, comparing variables, identifying variable differences, and forecasting outcomes. In various business scenarios, statistical …show more content…
In this case, we reject the null hypothesis. We can conclude that there is a difference in the average number of employees among firms of different sizes.
Table 1
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 7.87E+12 4 1.96742E+12 5.57 0.000475 2.472927
Within Groups 3.18E+13 90 3.53491E+11
Total 3.97E+13 94
Chi-square Test We perform a Chi-square test to evaluate whether there is an association between the size of the firm (0-4 employees, 5-9 employees, 10-19 employees, and 20-99 employees) and the number of firm expansions and firm contractions. Table 2 below presents the data for the number of expansions and contractions among different firms. The null hypothesis is H0: there is no association between the firm size and the number of firm expansions and contractions. The alternative hypothesis is H1: there is an association between the firm size and the number of firm expansions and contractions.
Table 2
Number of Expansions and Contractions among Firms of Various Sizes for 2009-2010
Firm Size Expansions Contractions Total
0-4 518914 361932 880846
5-9 279441 342604 622045
10-19 211491 274428 485919
20-99 235712 247892