Problem 2 A researcher carried out a survey to estimate the average household (HH) expenditure (per month) on electricity bill in a city with 35,000 households. A simple random sample of 16 households was selected. In addition to collect information on HH expenditure on electricity, he also collected information about number of rooms in the HH. The survey suffers from nonresponse. The survey data are presented in the Table below: HH SIH E lectricity bill (RO) Number of room 24 MA GORENOWN 45 a) Assuming that the HH for which electricity bill is available constitute a simple random sample, estimate the average electricity bill with 95% confidence interval Interpret (explain) your result b) Looking at the available data, explain if there is any bias in the nonresponse of electricity bill c) Use the ratio estimator to compute a better estimate. d) Compare the outcomes under (a) and (c). Explain why (or why not) the ratio estimator produces better estimates Problem 2 A researcher carried out a survey to estimate the average household (HH) expenditure (per month) on electricity bill in a city with 35,000 households. A simple random sample of 16 households was selected. In addition to collect information on HH expenditure on electricity, he also collected information about number of rooms in the HH. The survey suffers from nonresponse. The survey data are presented in the Table below: HH SIH E lectricity bill (RO) Number of room 24 MA GORENOWN 45 a) Assuming that the HH for which electricity bill is available constitute a simple random sample, estimate the average electricity bill with 95% confidence interval Interpret (explain) your result b) Looking at the available data, explain if there is any bias in the nonresponse of electricity bill c) Use the ratio estimator to compute a better estimate. d) Compare the outcomes under (a) and (c). Explain why (or why not) the ratio estimator produces better estimates