**Title: Statistical Analysis of IQ Differences Between Siblings****Introduction:**This study examines whether there is a significant difference in IQ scores between younger and older siblings. Data was collected from ten sibling pairs, and each sibling completed an IQ test.**IQ Scores Data Table:**| Sibling Pair | Younger Sibling | Older Sibling ||--------------|-----------------|---------------|| Pair 1 | 102 | 89 || Pair 2 | 101 | 92 || Pair 3 | 102 | 101 || Pair 4 | 110 | 108 || Pair 5 | 94 | 93 || Pair 6 | 101 | 94 || Pair 7 | 104 | 99 || Pair 8 | 89 | 92 || Pair 9 | 97 | 82 || Pair 10 | 108 | 100 |**Objective:**To determine if the IQ scores of younger siblings are significantly different from those of older siblings at a significance level of $ \alpha = 0.01 $.**Statistical Analysis Steps:**1. **Test Selection:** - For this study, we should use [Select an answer].2. **Formulate Hypotheses:** - Null hypothesis $ H_0 $: [Select an answer] [Select an answer] [Select an answer] - Alternative hypothesis $ H_1 $: [Select an answer] [Select an answer] [Select an answer]3. **Calculate Test Statistic:** - The test statistic (please show your answer to 2 decimal places): [Insert answer here]4. **Determine p-value:** - The p-value (please show your answer to 4 decimal places): [Insert answer here]5. **Decision Making:** - Compare the p-value with $ \alpha $ (0.01). - The p-value is [ ? ] $ \alpha $. - Based on this, we should [Select an answer] the null hypothesis.**Conclusion:**This analysis aims to clarify whether the observed differences in IQ scores among siblings are statistically significant. The calculated test statistic and p-value will guide us in making a formal conclusion based on the hypothesis test conducted at the

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Description: **Title: Statistical Analysis of IQ Differences Between Siblings****Introduction:**This study examines whether there is a significant difference in IQ scores between younger and older siblings. Data was collected from ten sibling pairs, and each sib

The average difference whether the younger sibling and older sibling is to be tested. Since the…

Math

Statistics

sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger Sibling 102 101 102 110 94 101 104 89 97 108 Older 89 92 101 108 93 94 99 92 82 100 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance?

sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger Sibling 102 101 102 110 94 101 104 89 97 108 Older 89 92 101 108 93 94 99 92 82 100 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance?

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