Unformatted text preview: = P( V ≥ 4 p = 0.5) = 0.1875 8. Conclusion: do not reject H . There is not enough evidence to suspect an upward trend in the wheel opening dimensions at α =0.05. 1545 a) 32 sequences are possible b) Because each sequence has probability 1/32 under H , the distribution of W * is obtained by counting the sequences that result in each value of W * w * 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Prob*1/32 1 1 1 2 2 3 3 3 3 3 3 2 2 1 1 1 c) P( W * > 13) = 2/32 d) By enumerating the possible sequences, the probability that W * exceeds any value can be calculated under the null hypothesis as in part (c). This approach can be used to determine the critical values for the test. 1519...
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 Spring '09
 KAILASHKAPUR
 Normal Distribution, Probability theory, Statistical hypothesis testing, Cumulative distribution function, Discrete probability distribution

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