You are currently employed by Heinz and have been asked to investigate whether there is a significant difference between the weight of the ketchup bottles produced at the factory in Pittsburgh, PA versus the factory in Muscatine, Iowa. You randomly sample 14 bottles from the Pittsburgh factory and randomly sample 18 bottles from Muscatine.

Sample Pittsburgh had a mean of 3.317 and std.error/std.dev of 0.231 Sample Muscatine had a mean of 4.178 and std.error/std.dev of 0.127

a.) Are these samples independent or paired?

b.) How many degrees of freedom are associated with the critical value used to compute the confidence interval? (Show work.)

c.) What is the 95% two-sample confidence interval? What is the length of this interval?

d.) What statement can you tell you boss about the two factories based on the 95% confidence interval?