8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to deter- mine how much force is required to break the insulators. You mea- sure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize and store these data in Force: 1,610 1,634 1,870 1,728 1,656 1,610 1,634 1,656 1,784 1,552 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,886 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 a. Construct a 95% confidence interval estimate for the population mean force. b. What assumption must you make about the population distribu- tion in order to construct the confidence interval estimate in (a)?
8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to deter- mine how much force is required to break the insulators. You mea- sure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and organize and store these data in Force: 1,610 1,634 1,870 1,728 1,656 1,610 1,634 1,656 1,784 1,552 1,696 1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774 1,550 1,756 1,762 1,886 1,820 1,744 1,788 1,688 1,810 1,752 1,680 1,810 1,652 1,736 a. Construct a 95% confidence interval estimate for the population mean force. b. What assumption must you make about the population distribu- tion in order to construct the confidence interval estimate in (a)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Transcribed Image Text:8.23 A manufacturing company produces electric insulators. You
define the variable of interest as the strength of the insulators. If
the insulators break when in use, a short circuit is likely. To test the
strength of the insulators, you carry out destructive testing to deter-
mine how much force is required to break the insulators. You mea-
sure force by observing how many pounds are applied to the insulator
before it breaks. You collect the force data for 30 insulators selected
for the experiment and organize and store these data in Force:
1,634
1,784 1,552 1,696
1,870 1,728 1,656 1,610 1,634
1,656 1,610
1,592 1,662 1,866 1,764 1,734
1,662 1,734 1,774
1,550 1,756 1,762 1,886 1,820 1,744 1,788 1,688
1,810 1,752 1,680 1,810 1,652 1,736
a. Construct a 95% confidence interval estimate for the population
mean force.
b. What assumption must you make about the population distribu-
tion in order to construct the confidence interval estimate in (a)?
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