Oct31_examples

# Oct31_examples - October 31st Examples(10.38 Two designs...

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October 31st Examples (10.38) Two designs for a laboratory are to be compared with respect to the average amount of light produced on table surfaces. Forty independent measurements (in footcandles) are taken in each laboratory, with the following results: Design I Design II n 1 = 40 n 2 = 40 ¯ x 1 = 28 . 9 ¯ x 2 = 32 . 6 s 2 1 = 15 . 1 s 2 2 = 15 . 8 Is there sufficient evidence to suggest that the designs differ with respect to the average amount of light produced? Use α = 0 . 05 . (10.40) A study was conducted by the Florida Game and Fish Commission to assess the amounts of chemical residues found in the brain tissue of brown pelicans. For DDT, random sample of n 1 = 10 juveniles and n 2 = 13 nestlings gave the following results (measurements in parts per million): Juveniles Nestlings n 1 = 10 n 2 = 13 ¯ y 1 = 0 . 0041 ¯ y 2 = 0 . 026 s 1 = 0 . 017 s 2 = 0 . 016 Test the hypothesis that there is no difference between mean amounts of DDT found in juveniles and nestlings versus the alternative that the juveniles have a larger mean amount. Use α = 0 . 05.

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