Problem 6: Census In theory, a census is supposed to collect data on every single person dwelling in residential structures in a country (including citizens, non-citizen legal residents, non-citizen long-term visitors and undocumented immigrants). We'll consider two countries: The (very real) United States and the mythical country of Mount Wannahockaloogee. For this problem, let's make some simplifying assumptions: US = United States, MW = Mount Wannahockaloogee There are 328.2 million residents in the US (this is a 2019 estimate from the US Census); There are 10 residents (yes, only ten) of MW (I made this number up because this country isn't real). (a) For this part, assume that (somehow), the census has successfully collected the ages of all 328.2 million residents in the US (no exceptions). Based on this data, the average age of US residents is 37.4 with a standard deviation of 9.7.1 Compute a 95% CI for the average age based on the census. (b) There are only 10 residents of Mount Wannahockaloogee, so it was easy to collect census data on every resident. Based on this data, the average age of MW residents is 33.1 with a standard deviation of 12.1.2 Compute a 95% CI for the average age based on this census. (c) In parts (a) and (b), what (if any) is the source of randomness in the data collection? (d) Recalling that confidence intervals account for the randomness due to random sampling, do you want to change your interpretation of the CIs in parts (a) and (b)? Are these CIs meaningful? (e) In practice, it is not possible to collect data on literally every. single. person. in the US. So, the census actually represents a (very large) sample of US residents. Is this a random sample? Why or why not?