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STATISTICS 110 TUT 4 -Non-parametric methods

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TUT 4 MEMO on Chapter 18 Question 1 The computer laboratory where students do their practical tests is undecided whether to increase the capacity of the laboratory. From past experience they know t ... hat on average at most 80 students do their practical tests per session. A simple random sample of 10 sessions is taken to test the hypothesis. 88 90 82 78 86 78 76 92 80 84 In chapter 9 the one-sample t-test was performed under the assumption of a normal population with unknown population variance to test if the capacity of the computer laboratory must be increased. Use the exact sign test to test at a 5% level of significance that the median number of students per session is more than 80 students. a) Formulate the hypotheses population median ≤ 80 population median > 80 b) Value of the Sign test statistic: number of positive signs = 6 Sample size decreases from 10 to 9 c) Specify the exact distribution of : d) Define the p-value and calculate it by using the Excel function BINOM.DIST: one-sided p-value e) Interpret the p-value and make a conclusion: p-value (= 0.254) > (= 0.05) ⇒ can not be rejected Conclusion: The population median number of students per session is not significantly more than 80, indicating that the computer laboratory will not have to increase the capacity of the laboratory. [Show More]

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