2.35 The manufacturing company in Problem 2.34 also produces electric insulators

Question

2.35 The manufacturing company in Problem 2.34 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing in high-powered labs is carried out 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 Data are collected from a sample of 30 insulators. The file Force contains the strengths as follows 1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,866 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 a. Construct a frequency distribution and a percentage distribution. b. Construct a cumulative percentage distribution. c. What can you conclude about the strength of the insula tors if the company requires a force measurement of at least 1,500 pounds before the insulator breaks?

Explanation / Answer

(a)

Step 1: Sort the data

Step 2: Create approprite classes for the dataset

1850-1899

Step 3: Create frequencies and percentages for the given data:

(b)

Find the cumulative percentages by adding all the previous percentages in cells, as below:

(c)

Since none of the values for force measurement lie below 1500, we can say that insulators are strong enough.

Please Rate

Sorted Data 1522 1550 1592 1610 1634 1652 1656 1662 1662 1680 1688 1696 1728 1734 1734 1736 1744 1752 1756 1762 1764 1774 1784 1788 1810 1810 1820 1866 1866 1870

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