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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
600
800
310
730
740
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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