Question: The inspection division of the Lee County Weights and measures Dept is interested in determining whether the proper amount of soft drink has been placed in a 2 liter bottle at the local bottling plant of a nationally known soft drink company. The bottling plant has informed the inspection division that the standard deviation for 2 liter bottles is 0.05 liters. A random sample of 100 2-liter bottles obtained from the bottling plant indicates a sample mean of 1.99 liter.

a. A 5% level of significance is there evidence that the mean amount of bottles is different from 2.0 (Perform 6 steps hypothesis test)

b. Compute the p-value