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Polychlorinated biphenyls (PCB's) are used in the manufacture of electrical transformers and pose a great danger to health when released into the environment. The PCB concentration (in parts per million, ppm) was measured in samples of fish from two rivers:
River A 8.1 7.7 8.3 9.1 7.1 7.8 8.3 6.4 8.1 7.2
River B 6.5 6.3 5.3 4.2 5.6 5.6 5.5 6.0
(a) Test at alpha = .01 if the mean PCB concentration in fish is significantly higher for river A.
(Use Excel to find x, s2 , y, s2 then do the rest by hand)
(b) Estimate the mean difference PCB concentration for the fish in the two rivers using a 99% confidence interval.
As a part of a class project, your statistics instructor asks you to weigh a sample of 100 items from a shipment of 500. You are testing the null hypothesis that the mean is greater or equal to 10 lbs.
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If the scores are approximately normal with mean 544 and standard deviation 103, what minimum score would a student need in order to score in the top 10% of those taking the test?
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