**Assessing the Difference in IQ Between Siblings****Study Scenario:**On average, is the younger sibling's IQ different from the older sibling's IQ? Ten pairs of siblings were given IQ tests, and their scores are shown below:**IQ Scores Table:**| | Younger Sibling | Older Sibling ||-----|-----------------|---------------|| Pair 1 | 103 | 103 || Pair 2 | 107 | 113 || Pair 3 | 92 | 100 || Pair 4 | 105 | 112 || Pair 5 | 101 | 108 || Pair 6 | 99 | 113 || Pair 7 | 100 | 121 || Pair 8 | 88 | 97 || Pair 9 | 93 | 90 || Pair 10| 98 | 99 |**Statistical Analysis:**Assume a Normal distribution. The goal is to determine whether the IQ of younger siblings is significantly different from that of older siblings at the \(\alpha = 0.01\) level of significance.**Hypothesis Testing:****a. Hypothesis Formulation:**- The null and alternative hypotheses (H₀ and H₁) are formulated as follows: - \(H_0\): There is no difference in IQ between younger and older siblings. - \(H_1\): There is a significant difference in IQ between younger and older siblings.**b. Calculations:**- **Test Statistic:** This is calculated based on the IQ scores provided. (Please show your answer to three decimal places.)- **P-value:** Determine the p-value corresponding to the test statistic obtained. (Please show your answer to four decimal places.)**Purpose:**This example demonstrates how to frame a hypothesis test, how to calculate relevant statistics, and how to interpret results to draw conclusions regarding the difference in IQ between younger and older siblings.**Note:** Use appropriate statistical tools or software to compute the test statistic and p-value. Ensure your calculations are conducted with accuracy and precision to provide meaningful conclusions.

From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01

Answered: On average is the younger sibling's IQ…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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