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Q1) Table illustrates the SAT verbal test scores for 9 randomly selected female students and 14 randomly selected male students. Suppose that sat verbal test scores are normally distributed.  At a = 0.01, test claim that test score variance for females is different from that for males.

Female 

480

610

340

630

520

690

540

Male

560

680

360

530

380

460

630

Female

600

800

 

 

 

 

 

Male

310

730

740

520

560

400

510

Q2) Steel pipe fittings company claims that yield strength of its nontempered couplings is more variable than that of its tempered couplings. Random sample of 9 tempered couplings has standard deviation of 13.1 megapascals, and similar sample of 9 nontempered couplings has standard deviation of 25.4 megapascals. From past data, it is recognized that company's production process results in normally distributed yield strengths. Test company's claim at a = 0.05.

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