hw111f2011

hw111f2011 - Assignment 1 (Due 5pm Thursday, 09/08/11) 1....

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Assignment 1 (Due 5pm Thursday, 09/08/11) 1. In an experiment, two types of fertilizer mixtures A and B are used to treat six bean plants, with each randomly applied to three of the plants. The yields of the plants (in pounds) are given below. The goal of the experiment is to test if A and B have different effects on bean plant yield. ABBABA 354376 a) Obtain the randomization distribution. b) Calculate the P -value using the randomization test. c) Calculate the P -value using two-sample t -test. d) Compare the results of b) and c). 2. You are asked to design an experiment to compare the typing efficiencies of three different types of keyboards denoted by A , B and C . Two typists, denoted by T 1 and T 2 , will be employed and six manuscripts m 1 , m 2 , m 3 , m 4 , m 5 and m 6 will be used in this experiment. a) Give your experimental plan. b) Which principles you have used when designing the experiment? Comment on their ben- efits in this experiment.
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hw111f2011 - Assignment 1 (Due 5pm Thursday, 09/08/11) 1....

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