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A manufacturing company produces electrical insulators. If the insulators break when in use, a short circuit...

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Statistics

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 data shownbelow are from 30 insulators subjected to this testing:

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

  1. At the 0.05 level of significance, is there evidence that thepopulation mean force required to break the insulator is greaterthan 1,500 pounds?
  2. What assumption about the population distribution is needed inorder to conduct the t test in (a)?
  3. Construct a histogram or a boxplot, or a normal probabilityplot to evaluate the assumption made in (b).
  4. Do you think that the assumption needed in order to conduct thet test in (a) is valid? Explain.

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