The competitive advantage of some small American factories such as In Tolerance Contract Manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. Suppose the sample variance for 38 parts turns out to be s2=0.0005 . Use a=0.05, to test whether the population variance specification is being violated.

Southeastern oklahoma state university's business program has the facilities and faculty to handle an enrollment of 2,000 new students per semester. however, in an effort to limit class sizes to a "reasonable" level (under 200 generally), southeastern's dean, holly lutze, placed a ceiling on enrollment of 1,600 new students. although there was ample demand for business courses last semester, conflicting schedules allowed only 1,440 new students to take business courses. the utilization rate for southeastern=%the efficiency rate for southeastern=%