In Born together—Reared apart: the Landmark Minnesota twin study (2012), Nancy Segal discusses the efforts of research psychologists at the University of Minnesota to understand similarities and differences between twins by studying sets of twins who were raised separately. The Excel Online file below contains critical reading SAT scores for several pairs of identical twins (twins who share all of their genes), one of whom was raised in a family with no other children (no siblings) and one of whom was raised in a family with other children (with siblings). Construct a spreadsheet to answer the following questions. SAT Score No Siblings SAT Score With Siblings 414 433 602 583 570 639 439 476 386 471 462 530 465 498 665 551 478 462 718 650 552 454 625 653 469 456 621 613 580 449 656 667 564 575 610 623 544 513 609 645 b. Provide a 90% confidence interval estimate of the mean difference between the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings. (to 2 decimals) c. Conduct a hypothesis test of equality of the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings. p-value is (to 4 decimals)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
In Born together—Reared apart: the Landmark Minnesota twin study (2012), Nancy Segal discusses the efforts of research psychologists at the University of Minnesota to understand similarities and differences between twins by studying sets of twins who were raised separately. The Excel Online file below contains critical reading SAT scores for several pairs of identical twins (twins who share all of their genes), one of whom was raised in a family with no other children (no siblings) and one of whom was raised in a family with other children (with siblings). Construct a spreadsheet to answer the following questions.
|
SAT Score No Siblings |
SAT Score With Siblings |
| 414 | 433 |
| 602 | 583 |
| 570 | 639 |
| 439 | 476 |
| 386 | 471 |
| 462 | 530 |
| 465 | 498 |
| 665 | 551 |
| 478 | 462 |
| 718 | 650 |
| 552 | 454 |
| 625 | 653 |
| 469 | 456 |
| 621 | 613 |
| 580 | 449 |
| 656 | 667 |
| 564 | 575 |
| 610 | 623 |
| 544 | 513 |
| 609 | 645 |
b. Provide a 90% confidence
c. Conduct a hypothesis test of equality of the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings.
p-value is (to 4 decimals)
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