I. Bureaucracy Today. You are designing a survey for a government agency that wants to minimize cost while at the same time providing the most accurate information on things like insecure housing and food access for high poverty areas. You want to measure them by the following questions. 1. How many days out of the last 30 have you not had a roof over your head while you slept? 2. How many meals (counting breakfast, lunch and dinner on each day as 1 meal) have you skipped in the past month because you could not afford to pay for food? Suppose that 1 has a leftwardly skewed distribution with most people spending 0 out of 7 of the past days without a roof over their head while they slept. Suppose 2 is normally distributed with mean 6 and variance 2. Part a In your sample, which estimator will approach the normal distribution, the mean answer to question 1 or the mean answer to question 2, or both? Part b For question 2, suppose that 60% of the population, those with less than a HS level of education, have a mean of 12 . What is the mean for the other 40%, who has at least a HS level of education? Part c Your survey relies on randomly dialing people's cell phone numbers to ask them the questions. Why might the means from this survey be a biased representation of the population overall? In what direction would it likely be biased? Part d Design an alternative survey method to c) that will be less biased. I. Bureaucracy Today. You are designing a survey for a government agency that wants to minimize cost while at the same time providing the most accurate information on things like insecure housing and food access for high poverty areas. You want to measure them by the following questions. 1. How many days out of the last 30 have you not had a roof over your head while you slept? 2. How many meals (counting breakfast, lunch and dinner on each day as 1 meal) have you skipped in the past month because you could not afford to pay for food? Suppose that 1 has a leftwardly skewed distribution with most people spending 0 out of 7 of the past days without a roof over their head while they slept. Suppose 2 is normally distributed with mean 6 and variance 2. Part a In your sample, which estimator will approach the normal distribution, the mean answer to question 1 or the mean answer to question 2, or both? Part b For question 2, suppose that 60% of the population, those with less than a HS level of education, have a mean of 12 . What is the mean for the other 40%, who has at least a HS level of education? Part c Your survey relies on randomly dialing people's cell phone numbers to ask them the questions. Why might the means from this survey be a biased representation of the population overall? In what direction would it likely be biased? Part d Design an alternative survey method to c) that will be less biased