Discussion:
An organization thinks that if the electrical insulators break when in use, a short circuit might occur. To test the strength of the insulators, a hard core test will be performed to determine how much force is required to break the insulators. Force is measured by observing the number of pounds of force (lbs.) applied to the insulators before it has a chance to break. The data from 30 insulators subjected to this testing is tabulated below (please refer to attached file to view the chart for this question).
Questions:
a. At the 0.05 level of significance, is there evidence that the population mean force is greater than 1,500 lbs.?
b. What assumption about the population distribution is needed in order to conduct the t test in (a)?
c. Construct a histogram and boxplot to evaluate the assumption made in (b).
d. Do you think that the assumption needed in order to conduct t test in (a) is valid? Explain.
Chart
|
1870
|
1610
|
1522
|
1662
|
1734
|
1774
|
1762
|
1744
|
1810
|
1810
|
|
1728
|
1634
|
1696
|
1866
|
1662
|
1550
|
1866
|
1788
|
1752
|
1652
|
|
1656
|
1784
|
1592
|
1764
|
1734
|
1756
|
1820
|
1688
|
1680
|
1736
|