A bottling company needs to produce bottles that will hold 1…
A bottling company needs to produce bottles that will hold 12 ounces of liquid for a local beer maker. Periodically, the company receives complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 15 bottles and finds the average amount of liquid held by the 15 bottles is 11.90 ounces and the standard deviation is 0.20 ounces. Suppose the test results indicated that the null hypothesis should be rejected, and, as a result, the company shut down their machine for inspection. However, a thorough examination revealed that the machine was filling the bottles correctly. From a statistical point of view, which one of the following is true?