13. The quality assurance department for Pepsi Distributors, Inc. maintains meticulous records on the bottling line for two-liter Pepsi bottles. Records indicate that the process follows the normal probabilitydistribution with a meanamount per bottle of 2.01 liters and a standard deviationof 0.025 liters. The foreman randomly selects 25 bottles from the bottling line and determines that the mean amount per bottle is 2.005 liters.
a. Compute the samplingerror.
b. Compute the standard errorof the sampling distributionof sample means.
c. Compute the probability that the sample of 25 bottles would have a mean of 2.005 liters or more.
14. Suppose the foreman in Problem 13 selects a second sample of 16 bottles and determines that the mean is 1.994 liters. Compute the probability that the sample of 16 bottles would have a mean of 1.994 liters or more.
See attached file for full problem description.
The solution discusses sampling and standard errors for Pepsi distributors.