Employees sometimes face the need to work overtime. This may happen, for example, when they are regularly d. Calculate a 99% confidence interval for the regression coefficient of task uncertainty. What does this interrupted with unforeseen tasks (i.e., task uncertainty). In this question, we will use data from the 2010 interval reveal about the true association between task uncertainty and overtime? European Working Conditions Survey on a random sample of 18,321 European employees drawn from 5 marks) Europe's working population. Table A describes the variables used in the subsequent regression analysis. Which of the other five independent variables have coefficients that are significantly different from zero, Table A: Variable descriptions assuming a = 0.01? Use the critical value approach to answer this question. variable description mean std. dev. minimum maximum (5 marks) number of days in a month that an employee overtime 1.757 4.470 0 works more than 10 hours 31 Assuming all other variables constant, what is the estimated mean difference in overtime between men task uncertainty frequency of interruption with unforeseen tasks, 1.167 0.927 3 and women in this sample? Similarly, assuming all other variables constant, what is the estimated mean ranging from 0 (never) to 3 (very often) difference in overtime between employees facing low (0') versus high (3") task uncertainty? private sector sector of employee (0 = public sector; 1 = private 0.671 0.470 (5 marks) sector) gender employee gender (0 = female; 1 = male) 0.484 0.500 age employee age in years 40.421 11.411 16 65 fulltime if fulltime contract; 0 if part-time contract 0.826 0.379 firm size firm size, ranging from 0 (small) to 6 (large) 2.300 1.621 6 a. How many of the sampled employees work in the public sector? And how many work fulltime? (5 marks) . For each of the ratio variables in Table A, explain whether its distribution is negatively skewed, positively skewed, or symmetrical. (5 marks) c. Which of the variables are nominal or ordinal? Please explain. (5 marks) Table B shows a linear regression equation to investigate the association between task uncertainty on the one hand, and overtime on the other. Table B: Estimated regression equation of overtime adjusted R-square: 0.032 Dependent variable: overtime F(6; 18,314): 100.17 Sig.: 0.000 B Std. Error task uncertainty 0.226 0.035 private sector 0.103 0.072 gender 0.902 0.068 age -0.011 0.003 fulltime 1.320 0.089 firm size 0.024 0.021 (constant) 0.273 0.163