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- If beta is equal to 0.4165, then the power of the test would be2.21 The manufacturing company in Problem 2.20 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 mea- sured by observing how many pounds must be applied to the insu- lator before it breaks. The force measurements, collected from a sample of 30 insulators and stored in Force , are:1,870 1,728 1,656 1,610 1,634 1,784 1,592 1,662 1,866 1,764 1,734 1,662 1,550 1,756 1,762 1,866 1,820 1,744 1,810 1,752 1,680 1,810 1,652 1,7361,522 1,696 1,734 1,774 1,788 1,688a. Constructafrequencydistributionandapercentagedistribution. b. Construct a cumulative percentage distribution. c. What can you conclude about the strength of the insulators ifthe company requires a force measurement of at least 1,500 pounds before the insulator breaks?Problem 5 Evaluate the definite integral. ∫sin^2(6x)cos^2(6x)dx=__________________ (upper limit=7, lower limit=2)