Sibling IQ Scores (Raw Data, Software Required): There have been numerous studies involving the correlation and differences in IQ's among siblings. Here we consider a small example of such a study. We will test the claim that, on average, older siblings have a higher IQ than their younger sibling. The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population. Pair ID Older Sibling IQ (x) | Younger Sibling IQ(y) 1 83 79 2 86 91 3 90 84 4 91 91 5 98 94 6 103 101 7 104 104 8 109 108 113 107 10 120 112 You should be able copy and paste the data directly into your software program. a) The claim is that the mean difference (x - y) is positive (ud > 0). What type of test is this? O This is a left-tailed test. This is a right-tailed test. O This is a two-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. ta = (c) What is the P-value of the test statistic? Round to 4 decimal places. P-value =