The dataset is obtained from a cross-sectional survey of a hypothetical project that mainly seeks to promote the use of hybrid beans among smallholder farmers to enable them achieve food security. The project provides improved beans for targeted beneficiaries in areas that are agro- ecologically suitable for horse bean production. Answer the following questions based on descriptive statistics and PSM as a non-experimental impact evaluation method: The gender of the household head is indicated by the variable 'gender_hh' in which 1 refers to female and 2 to male. Based on this information, what is the median age at first marriage for females? (b) for males? Is there any initial evidence to claim that the project targets female-headed households more than male-headed ones? Explain. If we compare the estimated annual income of male-headed and female-headed households, (a) whose income is higher? and by how much? (b) can we say that this difference is statistically significant? Assuming that the treatment is conditional on the following observable variables -gender, age_marrige, age, hhsize, education, yearsinresid, landsize, and owner_terms, perform a PSM between treatment and control groups. what is the mean of the estimated PS? and how do you interpret this number? how many observations