URGENT! (State, Plan, Do, Conclude for a full significance test) According to the Bureau of Labor Statistics, the average age of American workers is 41.9 years. The manager of a large technology company believes that the company’s employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages. Here are the data:

27 38 32 24 30 47 42 38 27 43 37 33

Do the sample data give convincing evidence that the average age is different than 41.9? Carry out an appropriate test at the α = 0.05 significance level.