d. [2 pts] If you wanted to estimate the difference in mean salaries within $200 with 95% confidence, how many individuals would you need to sample? The critical value is 1.984. Round up to the nearest whole number. Please complete all parts of problem

Black individuals have historically received a lower average annual salary compared to individ uals of other races/ethnicities. With the Black Lives Matter Movement educating the public about racial inequities that black individuals experience, sociologists wondered whether the average annual salary for Black individuals was signicantly different in 2020 compared to the previous year. To investigate this, a group of sociologists collected a random sample of 100 black individuals from 25 companies and obtained their average 2019 and 2020 salaries. They found that the average salary for all 100 individuals was $42,460 in 2019, $44,220 in 2020, the standard deviation of the difference in salaries was $1,600, and the standard deviation of salaries was $6,450 in 2019 and $5,275 in 2020. a. [1 pt] What is the outcome of interest and what type of variable (nominal, ordinal, continuous, discrete) is it? b. {1 pt] What test statistic should you use to investigate the difference in salaries? e. [1 pt] What is the corresponding null hypothesis in the context of this problem? Is the alternative hypothesis one-sided or two-sided? Null Hypothesis: One- or Tim-sided