Question: AluminiCorp is a major producer of aluminum cans that produces 40 billion aluminum cans every year. You work as a quality control officer for AluminiCorp, and are responsible for ensuring that the aluminum cans produced meet certain specifications. Each can is supposed to consist of precisely 15 grams of aluminum, and the market price for aluminum is $1.05 per pound (important note: there are 454 grams in one pound).

Column A contains aluminum content data from a sample of 100 cans taken from your Akron plant. The Akron plant produces 2 billion cans every year.

a) Construct a 95% confidence interval for the population mean aluminum content. Is the target content within this confidence interval?

b) Construct a 95% confidence interval for the total expenditure on aluminum at the Akron plant.

c) Based on your answer in part (b), how much money could AluminiCorp save if the Akron plant actually produced cans that were at the target aluminum content?