A company has manufactured millions of hooks that are designed to have a breaking strength of 100 pounds . The variability in the process as measured by the standard deviation is stable and, on the...

A company has manufactured millions of hooks that are designed to have a breaking strength of 100 pounds . The variability in the process as measured by the standard deviation is stable and, on the basis of thousands of tests, well established at 20 pounds. The company ships the hooks in very large lots and the decision as to whether the average breaking strength is 100 pounds is made by subjecting 400 randomly selected hooks to appropriate breaking tests, at a level of significance of 0.05. If a lot whose sample showed an average strength of 96.9 pounds the potential consumer may reject buying the lot since an average strength of 96.9 pounds is less than ________.