Question: A manufacturing company produces electrical insulators. If the insulators break when in use, a short circuit is likely to occur. In order to avoid the insulator breakage, the insulators are design to have a mean force greater than 1,690 pounds. To test the strength of insulators, destructive testing is carried out in high-powered labs to determine how much force is required to break the insulators. Force is measured by observing how many pounds must be applied to the insulator before it breaks. The following data are from the 28 observations from this experiment. At a=5%, is there evidence that the manufacturer meets its design target? (20 pts)

1728 1656 1610 1634 1784 1522 1650

1764 1734 1650 1734 1774 1550 1590

1744 1788 1688 1810 1752 1680 1700

1592 1762 1652 1696 1756 1810 1690