Running head: ASSIGNMENT 2 - ANALYSIS OF DATA - PART 1 1 Assignment 2: Analysis of data - Part 2 Julie-Ann E Walters: 9964649 STA 10003: Foundation of Statistics eLA: James Williams January 22, 2021
ASSIGNMENT 2 - ANALYSIS OF DATA - PART 1 2 Question 1. 'Team Engagement.' Researchers investigated if the levels of 'Team Engagement' with colleagues has decreased for Australian Public Service Employees (APS Employees) as suggested by an organisational psychologist. In a random sample of 1500 APS Employees, the average level of engagement (E) on a scale of 0 lowest to 20 highest was 11.74 (s = 6.14 E), Table 1. This is lower than the average of 14.5 from previous research and the one sample t-test shows that this difference in mean level of engagement is significant, t (1499) = 17.4, p <. 001. The 95% confidence interval indicates that levels of engagement for APS Employees has decreased by between 2.45 to 3.07, Table 2. As suggested by the organisational psychologist this decrease in team engagement could be due to government changes, however there is insufficient evidence in this report to determine the cause for the decrease in team engagement. Table 1 One-Sample Statistic table for the Percentage of APS Employees "Levels of Team Engagement on a scale of 0-20". Level of Engagement with your Team [scale of 0-20] N 1500 Mean 11.74 Std 6.142 Std Error 159 Table 2 One-Sample T-Test for APS Employees "Levels of Team Engagement" for the 95% Confidence Interval Difference and the p-value. Level of Engagement with your team [scale of 0-20] t -17.390 df 1499 Sig. (2-tailed) .000 Mean Difference -2.758 95% C. I Lower -3.07 95% C. I Upper -2.45
ASSIGNMENT 2 - ANALYSIS OF DATA - PART 1 3 Question 2. 'Supervisors Engagement and Tenure' Researchers hypothesised that APS Employees who have less than five years tenure engage more with their supervisors than APS Employees who have more than five years of tenure. In a random sample of 1500 APS Employees, the average level of Engagement (E) with Supervisors for APS Employees with more than five years of tenure ( x = 13.54 E, S = 5.04 E, = 1040) was lower than the mean engagement with supervisors for APS Employees with less than five years of tenure ( x =14.20 E, s = 5.12 E, = 458) Table 3, and an independent samples t-test shows that this difference is significant, t (1496) = 2.34, p <. 001. The 95% confidence interval indicates that, on average, for APS Employees engagement is between .11 and 1.22 E less for APS Employees with five or more years of tenure Table 4. As hypothesised APS Employees with five year or less of tenure have a higher level of engagement with their supervisors. Table 3. Group statistics of the length of time with company and level of engagement with your supervisor on a scale of 0-20 for APS Employees. Level of Engagement with your supervisor [scale of 0- 20] N Less