70. 1 Exercises 2.1 Use Table 2.2 to randomly assign 20 subjects to a study invo

Question

70. 1 Exercises 2.1 Use Table 2.2 to randomly assign 20 subjects to a study involving three treatment groups. You will need to adapt the method given in Sec- tion 2.3. ure 2.4, what is the highest possible mean difference? 2.2 In Fig 2.3 Alice has seven close friends, three male and four female, who are all about the same height as each other. She is wondering if the males around this height tend to be heavier than females on average. She sets up a scale in her floor and secretly weighs each friend when they visit. The resulting weights are given in Table 2.7. a) State in words the null hypothesis (Ho) and alternative hypothesis (H) that Alice is interested in testing. b) What is the observed difference in mean weight between males and females? c) Calculate the exact P-value for a randomization test of Ho and interpret the result.

Explanation / Answer

female male Mean 53.75 75.33333 Variance 166.9167 89.33333 Observations 4 3 Hypothesized Mean Difference 0 df 5 t Stat -2.55237 P(T<=t) one-tail 0.025559 t Critical one-tail 2.015048 P(T<=t) two-tail 0.051118 t Critical two-tail 2.570582

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