The quality control department at Eagle Spice Company selected a random sample of 36 bottles of Old Chesapeake Bay Seasoning from a recent production run. The amount of seasoning in each bottle (in grams) is given below.

169.8 170.1 170.2 169.9 170.1 169.8 170.0 170.1 169.7 170.1 170.1 169.9 170.3 170.2 169.0 169.7 170.2 170.0 170.0 170.1 169.8 169.9 170.1 170.0 170.5 170.4 169.9 170.0 170.1 170.3 169.9 169.8 170.2 170.1 170.2 170.0

Construct a 90% confidence interval for the population mean amount of Old Chesapeake Bay Seasoning in a bottle. Interpret your interval. List any assumptions that you make.

Ideally, there should be 170 grams of Old Chesapeake Bay Seasoning in a bottle. Based on this random sample, how is the filling process performing with respect to this standard? Briefly explain.