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We take 6 pairs of siblings and we measure their IQ. We get the following data: First born kid: 130, 118, 132, 100, 140,

We take 6 pairs of siblings and we measure their IQ. We get the following data: First born kid: 130, 118, 

We take 6 pairs of siblings and we measure their IQ. We get the following data: First born kid: 130, 118, 132, 100, 140, 145 . Second born kid: 110, 120, 118, 106, 122, 119 where we list siblings in the same order. (a) Is there evidence that the first born kid have higher IQ than the second born kids. Show clearly the 5 steps of hypothesis testing. [10] (b) Find a 99% CI for the mean difference in IQ of the second from the first kid. [5] (c) Calculate the Spearman correlation between the IQ values of the first and second born kid. [5]

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