On average is the younger sibling's IQ lower than the older sibling's IQ? Ten sibling pairs were givenIQ tests. The data are shown below.IQ ScoresYoungerSibling117 88 95 110 102 94 100 106 || 104 104Older114 96 103 118 107 95 97112 111 111SiblingAssume a Normal distribution. What can be concluded at the the a = 0.05 level of significance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: pdvv (please enter a decimal)H1: udvv (Please enter a decimal)b. The test statistic t vV =(please show your answer to 3 decimal places.)c. The p-value =(Please show your answer to 4 decimal places.)d. The p-value is svv ae. Based on this, we should rejectv the null hypothesis.玩b。 f. Thus, the final conclusion is that ...O The results are statistically insignificant at a = 0.05, so there is statistically significantevidence to conclude that the population mean IQ score for younger siblings is equal tothe population mean IQ score for older siblings.O The results are statistically insignificant at a = 0.05, so there is insufficient evidence toconclude that the population mean IQ score for younger siblings is lower than thepopulation mean IQ score for older siblings.O The results are statistically significant at a = 0.05, so there is sufficient evidence toconclude that the population mean IQ score for younger siblings is lower than thepopulation mean IQ score for older siblingsO The results are'statistically significant at a = 0.05, so there is sufficient evidence toconclude that the ten younger siblings' IQ scores are lower on average than the ten oldersiblings' IQ scores.g. Interpret the p-value in the context of the study.O There is a 0.59% chance of a Type I error.O There is a 0.59% chance that the mean IQ score for the 10 younger siblings is at least 4.4points lower than the mean IQ score for the 10 older siblings.O If the sample mean IQ score for the 10 younger siblings is the same as the sample meanIQ score for the 10 older siblings and if another 10 sibling pairs are given an IQ test thenthere would be a 0.59% chance of concluding that the mean IQ score for the 10 youngersiblings is at least 4.4 points lower than the mean IQ score for the 10 older siblings.O If the population mean IQ score for younger siblings is the same as the population meanIQ score for older siblings and if another 10 sibling pairs are given an IQ test then therewould be a 0.59% chance that the mean IQ score for the 10 younger siblings would be atleast 4.4 points lower than the mean IQ score for the 10 older siblings.h. Interpret the level of significance in the context of the study.O If the population mean IQ score for younger siblings is the same as the population meanIQ score for older siblings and if another 10 sibling pairs are given an IQ test, then therewould be a 5% chance that we would end up falsely concuding that the population meanIQ score for younger siblings is lower than the population mean IQ score for oldersiblings

Question

Accepted Answer

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…