Please answer all the questions. I will give a thumbs up for sure!

Task 1 (16 points) Imagine you work in the sales department of a company. In a meeting one of your colleagues reports that sales representatives who participated in a gender awareness seminar generate revenues of 70'693 CHF per month on average whereas those that did not participate generate revenues of 65'636 CHF per month on average. Out of all 2'000 sales representatives 33% participated in the seminar. Your colleague therefore suggests to roll out the seminar for the whole department. (a) Without any further information, would you recommend to follow the suggestions of your colleague? Discuss a type of bias that would invalidate the argument of your colleague. (2 points) (b) Without any further information, under what assumptions can the average treatment effect (ATE) be identified in this example? Discuss in detail how these assumptions could be violated. (c) Given the assumptions of the previous exercise hold, provide an estimator for the ATE and the average treatment effect on the treated (ATET) and estimate the parameters. (2 points) (d) The standard deviation for the revenues generated by seminar participants is 13'740 and that of non-participants is 13'303. Calculate the standard error for your ATE estimator. Is the measured effect significantly different from zero for conventional significance levels? (6 points) Task 1 (16 points) Imagine you work in the sales department of a company. In a meeting one of your colleagues reports that sales representatives who participated in a gender awareness seminar generate revenues of 70'693 CHF per month on average whereas those that did not participate generate revenues of 65'636 CHF per month on average. Out of all 2'000 sales representatives 33% participated in the seminar. Your colleague therefore suggests to roll out the seminar for the whole department. (a) Without any further information, would you recommend to follow the suggestions of your colleague? Discuss a type of bias that would invalidate the argument of your colleague. (2 points) (b) Without any further information, under what assumptions can the average treatment effect (ATE) be identified in this example? Discuss in detail how these assumptions could be violated. (c) Given the assumptions of the previous exercise hold, provide an estimator for the ATE and the average treatment effect on the treated (ATET) and estimate the parameters. (2 points) (d) The standard deviation for the revenues generated by seminar participants is 13'740 and that of non-participants is 13'303. Calculate the standard error for your ATE estimator. Is the measured effect significantly different from zero for conventional significance levels? (6 points)