5. A researcher is interested in the average hours worked in Orange County. She takes a sample of OC residents (n=81) and finds that the sample mean is 42 hours. The standard deviation is 27.

a. What is the confidence interval around the mean for the 95% confidence level?

b. If the researcher was asked about whether OC residents are on average full time workers (over 40 hours a week), would this confidence interval help answer that question? Why or why not?

c. A critic claims that because average hours aren't normally distributed, so we can't infer from our sample to the population. Is the critic correct? Why or why not?