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. Open spreadsheet a. What is the mean difference between the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings? 26.05 (to 2 decimals) 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. ( 0.14 ) (to 2 decimals) 56.28 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 0.0985 (to 4 decimals) At a = .01, what is your conclusion? that there is a difference between the mean scores for the no sibling and with sibling groups. Cannot conclude A66 Н XLMiner Analysis ToolPak SAT Score No SAT Score With Change in SAT Siblings Siblings Score (di) Part a Anova: Single Factor 451 466 -15 -15 608 507 101 Anova: Two-Factor With Replication 4 600 620 -20 Mean 28.21052632 387 408 -21 Standard Error 16.18886682 Anova: Two-Factor Without Replication 6. 363 455 -92 Median 40 394 487 -93 Mode 40 Correlation 8 481 415 66 Standard Deviation 70.5656345 9. 660 576 84 Sample Variance 4979.508772 Covariance 10 504 447 57 Kurtosis 0.185324519 11 672 663 Skewness 0.122919605 Descriptive Statistics 12 612 426 186 Range 279 13 630 688 -58 Minimum -93 Input Range: $C$2:$C$21 14 516 471 45 Maximum 186 15 635 553 82 Sum 536 Grouped By: Columns Rows 16 591 485 106 Count 19 O Labels in First Row 17 660 620 40 Largest(1) Smallest(1) Confidence Level(90%) 186 18 527 536 -9 -93 Output Range: $A$2:$A$21 19 607 617 -10 28.07252355 20 527 487 40 O Summary Statistics 21 624 601 23 M Confidence Level for Mean: 90 % 22 Part b Formula 23 The 90% confidence interval O Kth Largest: 1 24 C.I.Lower Limit 0.14 =F4-F19 25 C.I.Upper Limit 56.28 =F4+F19 9 Kth Smallest: 1 26 27 Part c OK 28 Degrees of Freedom 18 =F16-1 29 30 Test statistic 1.7426 |=F4/(F8/SQRT(F16)) Exponential Smoothing 31 ш