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When writing about some subjects there may even be varying patterns of sentence length in different positions in paragraphs or in different chapters. For example, the first sentence in any paragraph may tend to be longer than subsequent ones. This might happen in technical writing if each paragraph introduces a new basic idea and the first sentence may have to be long to expound that idea, while later sentences are subsidiary in nature to point out exceptions, limitations, fields of usage or other relevant matters.

Procedure. For the given data deviations from 70 are 73 – 70 = 3, 82 – 70 = 12 and similarly those remaining are 17, –2, 36, –10, 27. e. differences from 70) is an intuitively reasonable statistic to help assess the strength of the evidence against H0 in support of the specified onesided alternative H1. If the alternative had been the two-sided H1: θ ≠ 70 small as well as large sums of positive deviations would also have supported H1. 4 for the statistic S used there. The key to obtaining the randomization distribution of S+ when H0 holds lies in the fact that under H0 the sign of each deviation di is equally likely, on account of the symmetry assumption, to be positive or negative.

How could you use ranks to calculate the probability that those receiving the diet of pulses were ranked 1, 2, 3, 4? Obtain this probability assuming that there were 20 young men involved altogether. 1 we pointed out that 5 tosses of a coin would never provide evidence against the hypothesis that a coin was fair (equally likely to fall heads or tails) at a conventional 5 per cent significance level. What is the least number of tosses needed to provide such evidence using a two-tail test, and what is the exact P-value?