ests. The data are shown below. IQ Scores Younger 122 96 105 93 107 104 103 100 99 79 Sibling Older 118 99 100 85 102 103 96 96 83 62 Sibling ssume a Normal distribution. What can be concluded at the the a = 0.05 level of significance? or this study, we should use kest for the difference betvween two dependent population means a. The null and altemative hypotheses would be: He: ud (please enter a decimal) 1: ud (Please enter a decimal) b. The test statistic (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 s e. Based on this, we should reiect f. Thus, the final conclusion is that ... the null hypothesis. 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 not the same as the population mean IQ score for older siblings. • 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 not the same as the population mean IQ score for older siblings

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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
Sibling
122 96 106 93 107 104 103 100 99 79
Older
118 99 100 85 102| 103 96
96
83 62
Sibling
Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance?
For this study, we should use t-test for the difference between two dependent population means
a. The null and altemative hypotheses would be:
Hạ: pd
(please enter a decimal)
H1: ud
(Please enter a decimal)
b. The test statistic
(please show your answer to 3 decimal places. )
c. The p-value =
d. The p-value is
e. Based on this, we should reject
f. Thus, the final conclusion is that ..
(Please show your answer to 4 decimal places.)
the null hypothesis.
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 not the same as the
population mean IQ score for older siblings.
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 not the same as 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
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 Sibling 122 96 106 93 107 104 103 100 99 79 Older 118 99 100 85 102| 103 96 96 83 62 Sibling Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance? For this study, we should use t-test for the difference between two dependent population means a. The null and altemative hypotheses would be: Hạ: pd (please enter a decimal) H1: ud (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places. ) c. The p-value = d. The p-value is e. Based on this, we should reject f. Thus, the final conclusion is that .. (Please show your answer to 4 decimal places.) the null hypothesis. 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 not the same as the population mean IQ score for older siblings. 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 not the same as 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
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