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

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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
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4.1 Ratings (628 Votes)

a Let denote the mean force required to break the insulator We have totest the hypothesisVs The assumptions needed to conduct a t test to test the abovehypothesis can be listed as Continuous variable Independence of See Answer

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