Use the following information for problems #30 through #32….
Use the following information for problems #30 through #32. In a study of birth order and intelligence, IQ tests were given to brothers to estimate the size of the difference, if any, between the IQs of first born sons and second born sons. A researcher randomly selected 6 pairs of brothers and obtained the following data. Test the belief that there is a difference in the IQs of first born sons and second born sons at the 0.10 level of significance. (Assume all requirements for testing the mean difference have been met. Pair 1 2 3 4 5 6 1st born 117 96 111 115 109 123 2nd born 114 91 115 113 100 118 State the null and alternative hypotheses. Hint: Since you’re dealing with matched pairs, write the hypothesis in terms of the difference of the 2 means (