True or false

Given below are results from the regression analysis where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Unemploy) and the independent variables are the age of the worker (Age) and a dummy variable for management position (Manager: 1 = yes, 0= no). The results of the regression analysis are given below. Click the icon to view the results Determine whether the following statement is true or false: We can conclude that, holding constant the effect of the other independent variable, there is a difference in the mean number of weeks a worker is unemployed due to a layon between a worker who is in a management position and one who is not at a 5% level of significance if we use only the information of the 95% confidence interval estimate for the difference in the mean number of weeks a worker is unemployed due to a layoff between a worker who is in a management position and one who is not. - X Data table Regression Statistics Mulpie R 0 6391 R Square 0.4085 O Adjusted R Square 0.3765 Standard Error 18.8929 Observations 40 O ANOVA MS F Significance F Regression O 2 9119.0897 4590.3448 12 7740 0 0000 Residual 37 13206.8103 356.9408 Tell 39 22325 9 O Standard Error F Star P-value 02143 11.5708 0.0185 1.4448 0.3160 Manager 4.5717 0.0000 22.5761 11.3484 -1.5893 0.0541