On average is the younger sibling's IQ lower than the older sibling's IQ? Ten sibling pairs vwere given 1Q tests. The data are shown below. IQ Scores Younger 97 94 111 102 109 105 102 81 94 107 Sibling Older 100 103 110 99 119 109 97 89 89 120 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an ansv ) (please enter a decimal) answer H: Select an answer Select an answer V Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c The n-value (Please chow vour answer to 4 decimal places)
On average is the younger sibling's IQ lower than the older sibling's IQ? Ten sibling pairs vwere given 1Q tests. The data are shown below. IQ Scores Younger 97 94 111 102 109 105 102 81 94 107 Sibling Older 100 103 110 99 119 109 97 89 89 120 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an ansv ) (please enter a decimal) answer H: Select an answer Select an answer V Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c The n-value (Please chow vour answer to 4 decimal places)
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
Transcribed Image Text:On average is the younger sibling's IQ lower than the older sibling's IQ? Ten sibling pairs were given IQ tests.
The data are shown below.
IQ Scores
Younger
111 102 109 | 105 102 81 94 107
97
94
Sibling
Older
100 103 110 99 119 109 97
89 89| 120
Sibling
Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer v Select an answer V Select an answer v (please enter a decimal)
H1: Select an answer v Select an answer VSelect an answer v (Please enter a decimal)
b. The test statistic ? v=
(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 ?va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that
..
O The results are statistically insignificant at a = 0.05, so there is statistically significant
evidence to conclude that the population mean 1Q score for younger siblings is equal to the
population mean IQ score for older siblings.
O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the population mean IQ score for younger siblings is lower than the population
mean IQ score for older siblings.
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the ten younger siblings' IQ scores are lower on average than the ten older siblings' IQ
Scores.
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the population mean IQ score for younger siblings is lower than the population mean IQ
score for older siblings
g. Interpret the p-value in the context of the study.
O If the population mean IQ score for younger siblings is the same as the population mean IQ
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