# Statistics: 2.35 and 2.51

See attached file.

Please explain in detail, step by step.

2.35: The manufacturing company is 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, desructive 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 are collected from a sample of 30 inuslators. The file Force contains the strength as follows:

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

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 insulators if the company requires a force measurement of at least 1,500 pounds before the insulator breaks?

2.51 The file Dark Chocolate contains the cost per ounce ($), for a sample of 14 dark chocolate bars.

0.68 0.72 0.92 1.14 1.42 0.94 0.77

0.57 1.51 0.57 0.55 0.86 1.41 0.9

a. Place the data into an ordered array.

b. Construct a stem -and-leaf display.

c. Does the ordered array or the stem-and-leaf display provide more information? Discuss.

d. Around what value, if any, is the cost of dark chocolatenbars concentrated? Explain.

#### Solution Summary

Frequency distribution and Percentage distribution, Cumulative percentage distribution constructed and conclusion drawn fro problem 2.35 and Stem and Leaf display constructed for problem 2.51.