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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 84 107 100 110 85 103 93 88 107 100 110 94 102 Older Sibling 77 116 109 119 95 117 98 104 95 108 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 alternative hypotheses would be: Ho: pd O (please enter a decimal) H₁: ud V O (Please enter a decimal) ✓- b. The test statistic t (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 XX e. Based on this, we should reject 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 IQ 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 not the same as the population mean IQ score for 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 Sibling 84 107 100 110 85 103 93 88 107 100 110 94 102 Older Sibling 77 116 109 119 95 117 98 104 95 108 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 alternative hypotheses would be: Ho: pd O (please enter a decimal) H₁: ud V O (Please enter a decimal) ✓- b. The test statistic t (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 XX e. Based on this, we should reject 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 IQ 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 not the same as the population mean IQ score for older siblings.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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. 10 Scores Younger Sibling 84 107 100 110 85 103 93 88 94 102 Older 77 116 109 119 95 117 98 104 95 108 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 alternative hypotheses would be: Ho: ud ✓(please enter a decimal) (Please enter a decimal) H₁: ud 0 b. The test statistic t✔✔ (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 sv Q e. Based on this, we should reject 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 IQ 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 not the same as the population mean IQ score for older siblings.
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. 10 Scores Younger Sibling 84 107 100 110 85 103 93 88 94 102 Older 77 116 109 119 95 117 98 104 95 108 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 alternative hypotheses would be: Ho: ud ✓(please enter a decimal) (Please enter a decimal) H₁: ud 0 b. The test statistic t✔✔ (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 sv Q e. Based on this, we should reject 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 IQ 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 not the same as the population mean IQ score for older siblings.
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