Examples for nonparametric tests

# Examples for nonparametric tests - Sec 14.2 Sign test for a...

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Sec 14.2 Sign test for a single population inferences Example Consider the following sample of 10 observations 8.4 16.9 15.8 12.5 10.3 4.9 12.9 9.8 23.7 7.3 9 (a) At the 5% significance level, does the data provide the sufficient evidence to conclude that the median exceeds 9? Use the binomial distribution. (b) Repeat part (a) by using the normal approximation to binomial distribution.

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Wilcoxon Rank Sum Test A university statistics professor was concerned about the detrimental effects of poor mathematics background on her students. She randomly selected 15 students and divided them according to math background. Their semester average were the following Fewer than 2 years Two or more of high school algebra of high school algebra 58 84 61 92 81 75 64 67 74 83 43 81 65 52 74 (a) At the 5% significance level, do the data provide sufficient evidence to conclude that students with fewer than 2 years of high school algebra have a lower mean semester average than those with 2 or more years? (b) Repeat (a) using normal approximation.
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Examples for nonparametric tests - Sec 14.2 Sign test for a...

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