A consulting firm recommends that software engineers in a team should average 300 lines of code per engineer in a 40-hour work week. More than that tends to lead to avoidable errors and less than that leads to production delays. You lead a team of 20 software engineers and find that they averaged 280 lines of code in the past week, with a standard deviation of 45 lines.

a. At 90% confidence, and using a p-value test, can you say that your team is deviating from the recommendation?

b. If you used 95% confidence instead, would your conclusion be the same? Why or why not?