According to statista.com, workers in Brazil lead the world in paid vacation days, averaging 41 days per year. The following data show the number of paid vacation days for a random sample of 20 Brazilian workers. These data can also be found in the Excel file titled paid vacation.xlsx.

48 40 30 58 20 40 55 70 20 41
30 30 60 35 25 37 15 30 64 55

a. Construct a 95% confidence interval to estimate the average number of paid vacation days for Brazilian workers.

b. Do the results from this sample validate statista.com’s findings?

c. What assumptions need to be made about this population?