Directions: Read the background and the statement for each question below carefully. Write down if you think the statement is true or false, and briey explain why. 1. Background: the income distribution is right skewed. Statement: the mean of the income distribution is likely to be higher than its median. 2. Background: a zoologist is interested in the average weight of an adult wallaby. She plans to obtain a sample of 100 or 10000 to compute the 95% condence interval for the population mean of the weight. Statement: the 95% condence interval for population mean obtained from the 10000 wal- labies is likely to be wider than the 95% condence interval obtained from 100 wallabies. 3. Background: a statistic 0 is a consistent estimator of a population parameter 9. Statement: the sampling distribution of 0 is normally distributed. 4. Background: the equation below represents the tted model that describes the relationship between a household's expenditure on instant noodles (measured in thousands of dollars, variable name: insndl) and the household income (measured in thousands of dollars, variable name: faminc). 112.5le = 5 + 0.18faminc 0.0011faminc2 Statement: from the equation above, an increase of one thousand dollars in the family income is associated with an increase of 0.18 thousand dollars in the expenditure on instant noodles