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Descriptive Statistics

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A manufacturing company produces electrical insulators. If the insulator breaks when in use, a shor circuit is likely to occur. To test the strength of the insulators, destructive testing is carried out to determine how much force is required to break the insulators. Force is measured by observing the number of pounds of force applied to the insulator before it breaks. The following data (stored in force) are for 30 insulators subjected to this testing.
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) At the 0.05 level of significance, is there evidence that the population mean force is greater than 1,500 pounds?

b) What assumption about the population distribution is needed in order to conduct the t test in (a)?

c) Construct a histogram, box plot, or normal probability plot to evaluate the assumption made in (b).

d) Do you think that the assumption needed in order to conduct the t test in (a) is valid? Explain.

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Solution Summary

Step by step method for computing descriptive statistics , histogram , normal probability plot, box plot are given in the answer.

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Car Fuel Consumption:

The following table lists highway fuel consumption amounts (in mi/gal) from data Set 22 in Appendix C. Assume that fuel consumption amounts are not affected by an interaction between the type of transmission (manual or automatic) and the number of cylinders. Are fuel consumption amounts affected by the type of transmission? Are fuel consumption amounts affected by the number of cylinders? (Please see the attached file)

Age
under 20 20-40yrs Over 40
Male 96 64 68 60 64 88 72 64 68 72 60 88
Female 76 64 76 68 72 88 72 68 60 68 72 64

Cylinders
4 Cyliners 6 Cylinders 8 Cylinders
Manual 33 30 28
Automatic 31 27 24

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