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b. The test statistic c. The p-value = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

b. The test statistic c. The p-value = (please show your answer to 3 decimal places.) (Please show your 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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Need help finding test statistic and p-value. See the photo for problem.
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 Sibling 101 107 83 112 115 100 95 107 92 95 Older Sibling 103 114 85 116 126 99 102 118 95 101 Assume a Normal distribution. What can be concluded at the the a = 0.10 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 0 ✓(please enter a decimal) H₁: ud 0 (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 a e. Based on this, we should reject the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, 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. The results are statistically significant at a = 0.10, 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
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 Sibling 101 107 83 112 115 100 95 107 92 95 Older Sibling 103 114 85 116 126 99 102 118 95 101 Assume a Normal distribution. What can be concluded at the the a = 0.10 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 0 ✓(please enter a decimal) H₁: ud 0 (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 a e. Based on this, we should reject the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, 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. The results are statistically significant at a = 0.10, 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
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