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1). Two Heads Are Better Than One. Listed below are brain volumes (cm3) of twins.
First Born 1005 1035 1281 1051 1034 1079 1104 1439 1029 1160
Second Born 963 1027 1272 1079 1070 1173 1067 1347 1100 1204
Test the claim at the 5% significance level that the brain volume for the first born is different from the second-born twin.
(a) State the null and alternative hypotheses.
(b) Find the critical value and the test statistic.
(c) Should H0 be rejected at the 5% significance level? Make a conclusion.
(d) Construct a 95% confidence interval for the paired difference of the population means.
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