KING GRADUATE SCHOOL of MONROE COLLEGE BUSINESS STATISTICS Name: Date: October 1

Question

KING GRADUATE SCHOOL of MONROE COLLEGE BUSINESS STATISTICS Name: Date: October 14.2017 5. Asylumja Manufacturing Inc, builds 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. The force measurements, collected from a sample of 30 insulators and stored in the Force are: (30 pts) 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? d. MAKE 10 BINs TANUAL COMUPTATION ONLY 1.728 1,610 1,634 1,784 522 1,696 1,870 1,656 1,592 1,866 1,764 1,734 1,662 1,734 1,774 688 1,762 1,866 ,820 1,744 1,788 1,550 1,756 1810 1.7521,680 1,810 1,652 1.736

Explanation / Answer

number of observation=n=30, maximum =1870, minimum=1522, range=maximum - minimum=1870-1522=348

number of bin=10

bin interval=348/10=34.8 ( nearest whole number=35

first class (or bin) interval =1522 to 1522+35=1557 and follwoing information has been generated

(a) and (b)

(c) since all the force is more than 1500, so none of the insulator will break.

bin interval frequency cumulative frequency (cf) % frequency % cf 1522-1557 2 2 6.6667 6.6667 1557-1592 0 2 6.6667 6.6667 1592-1627 2 4 6.6667 13.3333 1627-1662 3 7 6.6667 23.3333 1662-1697 5 12 6.6667 40.0000 1697-1732 1 13 6.6667 43.3333 1732-1767 8 21 6.6667 70.0000 1767-1802 3 24 6.6667 80.0000 1802-1837 3 27 6.6667 90.0000 1837-1872 3 30 6.6667 100.0000 total 30 66.6667 473.3333

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