An automated filling process used by a soft drink manufacturer fills bottles marked as containing 32 ounces. The amount, X, in the bottles is assumed to be a normally distributed random variable. To monitor the process, a random sample of 25 bottles is selected each day and the average amount in these bottles is computed.

For a particular hour, the average amount in the 25 bottles in the sample is 33.2 ounces with sample standard deviation=2.6 ounces. Construct a 95% confidence interval for the population mean amount in the bottles and compute the value of the margin of error.