The stata data set data 2003.dta contains data on hourly wages, years of schooling, sex years of work experience, us citizen status, african-american status, and hispanic status of about 500 workers in the los angeles metropolitan area. the sample is taken from the 1990 census of population and to a large extent is still representative of the los angeles labor force today » use the summarize command in stata to describe the hourly wage variable. how many observations are in the sample? what is the mean wage in the sample? what is the maximum wage in the sample? the minimum? the standard deviation? » use the list command in stata to list the wage of every worker in the sample. what is the hourly wage of the first worker in the sample? what is the hourly wage of the last worker in the sample? (you do not need to print this listit is too long) . construct a histogram of the wage variable using the graph command. is the distribution skewed to the left or right? » wages and earnings are often studied by first taking logarithms (note: in this course all logs are natural logs). transform the wage variable by taking its logarithm using the command generate and the function in, then report the mean value of the log(wage) variable. now use the table command to describe the frequencies of years of schooling (variable educatio) how many workers have exactly a high-school degree (12 years)? » how many have exactly a college degree (16 years)? how many have at least a college degree? » are. there workers who never went to school? » using only the information displayed in the table (and a calculator) calculate the average years of schooling in the sample use the stat a conn nand summarize to verify that your answ(r to (d) s correct use table to describe the frequencies of female, us citizens, blacks and hispanics in the sample. now use the sort command: » what is the race of the highest wage worker in the sample? what is their sex? » what is the highest education level in the sample? what is the highest wage of the highest educated person in the sample? now use the command means with the option level 99) to construct 99% confidence interval for the variable wage. is this narrower or wider than the 95% interval use the command ttest to test whether the probability of being a male is equal to the prob- ability of being a female against the two-sided alternative that they are unequal as well as against each one of the one-sided alternatives. make sure to formally state your null and althernative hypotheses in each case. interpret the p - value of your test.