The dataset Employed ACS contains just the subset of people in the dataset ACS who were employed (n = 431), and includes HoursWk, the usual number of hours worked per week in the past 12 months.
(a) Produce a plot to examine the relationship between HoursWk and Sex (coded as 1 = male, 0 = female). Comment on what the plot shows.
(b) Summarize the relationship between HoursWk and Sex with appropriate summary statistics.
(c) Does the EmployedACS dataset provide significant evidence that employed males work more hours per week, on average, than employed females in the US? State hypotheses, use the appropriate formula and distribution to calculate a p-value, and make a conclusion in context.

The American Community Survey, administered by the US Census Bureau, is given every year to a random sample of about 3.5 million households (about 3% of all US households). It has been crucial for government and policy decisions, and helps to determine how over 400 billion dollars of government funds are distributed each year. Unfortunately, the House voted in May 2012 to eliminate this valuable source of information. Data on a random sample of 1% of all US residents are made public (after ensuring anonymity), and we have selected a random sub-sample of n = 1000 from the 2010 data, stored in ACS.