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e. Based on this, we should O the null hypothesis. Select an answer f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ score for older siblings. OThe results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude

e. Based on this, we should O the null hypothesis. Select an answer f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ score for older siblings. OThe results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude

MATLAB: An Introduction with Applications
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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popu for younger sibllngs Is not he same as the populat. score for older siblings. OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten younger siblings' IQ scores are not the same on average than the ten older siblings' IQ scores. g. Interpret the p-value in the context of the study. Olf the sample mean IQ score for the 10 younger siblings is the same as the sample mean IQ score for the 10 older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance of concluding that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance of a Type I error. OIf the population mean IQ score for younger siblings is the same as the population mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance that the mean IQ score for the 10 younger siblings would differ by at least 6.4 points from the mean IQ score for the 10 older siblings. h. Interpret the level of significance in the context of the study. OThere is a 1% chance that you are so much smarter than your sibling that there is no need to take an IQ test to make a comparison. If the population mean IQ score for younger siblings is the same as the population mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test, then there would be a 1% chance that we would end up falsely concuding that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings Olf the population mean IQ score for younger is the same as the popu tion mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test, then there would be a 1% chance that we would end up falsely concuding that the sample mean IQ scores for these 10 sibling pairs differ from each other. OThere is a 1% chance that the population mean IQ score is the same for younger and older siblings.
Transcribed Image Text:popu for younger sibllngs Is not he same as the populat. score for older siblings. OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten younger siblings' IQ scores are not the same on average than the ten older siblings' IQ scores. g. Interpret the p-value in the context of the study. Olf the sample mean IQ score for the 10 younger siblings is the same as the sample mean IQ score for the 10 older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance of concluding that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance that the mean IQ score for the 10 younger siblings differs by at least 6.4 points from the mean IQ score for the 10 older siblings. OThere is a 1.92% chance of a Type I error. OIf the population mean IQ score for younger siblings is the same as the population mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test then there would be a 1.92% chance that the mean IQ score for the 10 younger siblings would differ by at least 6.4 points from the mean IQ score for the 10 older siblings. h. Interpret the level of significance in the context of the study. OThere is a 1% chance that you are so much smarter than your sibling that there is no need to take an IQ test to make a comparison. If the population mean IQ score for younger siblings is the same as the population mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test, then there would be a 1% chance that we would end up falsely concuding that the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings Olf the population mean IQ score for younger is the same as the popu tion mean IQ score for older siblings and if another 10 sibling pairs are given an IQ test, then there would be a 1% chance that we would end up falsely concuding that the sample mean IQ scores for these 10 sibling pairs differ from each other. OThere is a 1% chance that the population mean IQ score is the same for younger and older siblings.
On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger 103 102 9590 98 92 108 86 105 95 Sibling Older 99 86 85 72 95 89 110 75 108 91 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer O (please enter a decimal) ? Select an answer H1: O (Please enter a decimal) Select an answer ? Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer O the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that %3D the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ score for older siblings. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude
Transcribed Image Text:On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQ tests. The data are shown below. IQ Scores Younger 103 102 9590 98 92 108 86 105 95 Sibling Older 99 86 85 72 95 89 110 75 108 91 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer O (please enter a decimal) ? Select an answer H1: O (Please enter a decimal) Select an answer ? Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer O the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that %3D the population mean IQ score for younger siblings is not the same as the population mean IQ score for older siblings The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean IQ score for younger siblings is equal to the population mean IQ score for older siblings. The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude
Expert Solution
Step 1

Let X1 and X2 denote the IQ score for younger and Older sibling respectively.

The sample size is n = 10.

From the sample values given, we can calculate the following

∑X1=974,X¯1=97.4,∑X12=95316,∑X1-X¯12=448.4,S12=112.1∑X2=910,X¯2=91.0,∑X22=84222,∑X2-X¯22=1412,S22=353

Level of significance, α=0.01

 

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