6a they probably had different means y from their

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6.(a) They probably had different means ¯ y from their samples, and different sample sizes n . Jack could have done a 2-sided test and Joe a 1-sided test (al- though both worked correctly, so hopefully used the same test!). Answers questioning the correct- ness of their sampling procedure did not receive full credit: Even when we work correctly, 2 ex- perimenters rarely obtain the same p-value (never same ¯ y ). (b) Jack, because he has the smallest p-value. Z and p-values vary in opposite directions. (c) H 0 : μ = 3 . 2g vs. H A : μ > 3 . 2g. We choose a one-sided alternative because there is prior infor- mation about other related species (the 2-sided alternative was accepted if good justification was provided). z = 1 . 465 and p-value= . 072. Weak evidence against a mean weight of 3.2g for adult females. Frequency 30 40 50 60 70 80 90 100 0 10 20 30 Summary of grades 63 74 82.5 1
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