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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)

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 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
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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