On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQtests. The data are shown below.IQ ScoresYounger103 102 9590 98 92 108 86 105 95SiblingOlder99Sibling86 85 72 95 89 110 75 108 91Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance?For this study, we should useSelect an answera. The null and alternative hypotheses would be:Ho:O (please enter a decimal)Select an answer?Select an answerH1:Select an answer?Select an answerO (Please enter a decimal)b. The test statistic ?(please show your answer to 3 decimal places.)||с. The p-value %3d. The p-value is ?(Please show your answer to 4 decimal places.)e. Based on this, we should Select an answerO 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 thatthe population mean IQ score for younger siblings is not the same as the population mean IQ scorefor older siblingsThe results are statistically insignificant at a = 0.01, so there is statistically significant evidence toconclude that the population mean IQ score for younger siblings is equal to the population mean IQ e. Based on this, we should Select an answerO 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 thatthe population mean IQ score for younger siblings is not the same as the population mean IQ scorefor older siblingsThe results are statistically insignificant at a = 0.01, so there is statistically significant evidence toconclude that the population mean IQ score for younger siblings is equal to the population mean IQscore for older siblings.The results are statistically insignificant at a = 0.01, so there is insufficient evidence to concludethat the population mean IQ score for younger siblings is not the same as the population mean IQscore for older siblings.OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude thatthe ten younger siblings' IQ scores are not the same on average than the ten older siblings' IQscores.g. Interpret the p-value in the context of the study.OIf the sample mean IQ score for the 10 younger siblings is the same as the sample mean IQ score forthe 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 pointsfrom 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 6.4points 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 scorefor 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 fromthe mean IQ score for the 10 older siblings.

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Description: On average is the younger sibling's IQ different from the older sibling's IQ? Ten sibling pairs were given IQtests. The data are shown below.IQ ScoresYounger103 102 9590 98 92 108 86 105 95SiblingOlder99Sibling86 85 72 95 89 110 75 108 91Assume a No

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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 95 90 98 92 108 86 105 95 Sibling Older 99 Sibling 85 72 95 89 110 75 108 91 86 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 ? Select an answer O (please enter a decimal) H1: Select an answer ? Select an answer (Please enter a decimal) b. The test statistic ? C (please show your answer to 3 decimal places.) c. The p-value (Please show your answer to 4 decimal places.)

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 95 90 98 92 108 86 105 95 Sibling Older 99 Sibling 85 72 95 89 110 75 108 91 86 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 ? Select an answer O (please enter a decimal) H1: Select an answer ? Select an answer (Please enter a decimal) b. The test statistic ? C (please show your answer to 3 decimal places.) c. The p-value (Please show your answer to 4 decimal places.)

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Topic Video

Question

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
Sibling
86 85 72 95 89 110 75 108 91
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:
Ho:
O (please enter a decimal)
Select an answer
?
Select an answer
H1:
Select an answer
?
Select an answer
O (Please enter a decimal)
b. The test statistic ?
(please show your answer to 3 decimal places.)
||
с. The p-value %3
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
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

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
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
that the population mean IQ score for younger siblings is not the same as the population mean IQ
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.
OIf 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.

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