A manufacturing company produces electrical insulators. If theinsulators break when in use, a short circuit is likely to occur.To test the strength of the insulators, destructive testing iscarried out to determine how much force is required to break theinsulators. Force is measured by observing the number of pounds offorce applied to the insulator before it breaks. The following data(stored in Force) are from 30 insulators subjectedto this testing:
- At the 0.05 level of significance, is there evidence that thepopulation mean force required to break the insulator is greaterthan 1,500 pounds? Be sure to write out the hypotheses clearly inyour output and to clearly state your conclusion.
- What assumption about the population distribution is needed inorder to conduct the t test in (a)?
- Construct a histogram, boxplot, or normal probability plot toevaluate the assumption made in (b). Based on the evidence obtainedfrom the plot, is the assumption needed for the t-test valid?Explain.
| Force |
| 1870 |
| 1728 |
| 1656 |
| 1610 |
| 1634 |
| 1784 |
| 1522 |
| 1696 |
| 1592 |
| 1662 |
| 1866 |
| 1764 |
| 1734 |
| 1662 |
| 1734 |
| 1774 |
| 1550 |
| 1756 |
| 1762 |
| 1866 |
| 1820 |
| 1744 |
| 1788 |
| 1688 |
| 1810 |
| 1752 |
| 1680 |
| 1810 |
| 1652 |
| 1736 |
Provide steps for both answer
