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. X 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? (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. ) (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) At a = .05, what is your conclusion? Cannot conclude v that there is a difference between the mean scores for the no sibling and with sibling groups.

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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 Change in SAT
Siblings
Score (di)
Part a
475
454
21
Change in SAT Score (di)
646
577
69
632
585
47
Мean
26.25
381
382
-1
Standard Error
14.31816568
436
413
23
Median
27
443
440
3
Mode
-27
527
486
41
Standard Deviation
64.03278354
616
545
71
Sample Variance
4100.197368
509
459
50
Kurtosis
0.967783056
681
649
32
Skewness
0.082358922
619
459
160
Range
282
569
596
-27
Minimum
-122
528
497
31
Maximum
160
633
542
91
Sum
525
Count
Largest(1)
Smallest(1)
Confidence Level(90%)
616
474
142
20
600
630
-30
160
559
588
-29
-122
628
648
-20
24.7580098
532
559
-27
568
690
-122
Part b
Formula
The 90% confidence interval
C.I.Lower Limit
1.49
|=F4-F19
C.I.Upper Limit
51.01
=F4+F19
Part c
Degrees of Freedom
19
|=F16-1
Test statistic
1.8333
=F4/(F8/SQRT(F16))
p-value
0.0825
|=T.DIST.2T(F30,F28)
Significance Level (Alpha)
0.01
Can we conclude that there is difference
between the mean scores? (Enter "Can
conclude" or "Cannot conclude")
cannot conclude
=IF(F30<=F34,"Can conclude","cannot conclude")
Transcribed Image Text:SAT Score No Siblings SAT Score With Change in SAT Siblings Score (di) Part a 475 454 21 Change in SAT Score (di) 646 577 69 632 585 47 Мean 26.25 381 382 -1 Standard Error 14.31816568 436 413 23 Median 27 443 440 3 Mode -27 527 486 41 Standard Deviation 64.03278354 616 545 71 Sample Variance 4100.197368 509 459 50 Kurtosis 0.967783056 681 649 32 Skewness 0.082358922 619 459 160 Range 282 569 596 -27 Minimum -122 528 497 31 Maximum 160 633 542 91 Sum 525 Count Largest(1) Smallest(1) Confidence Level(90%) 616 474 142 20 600 630 -30 160 559 588 -29 -122 628 648 -20 24.7580098 532 559 -27 568 690 -122 Part b Formula The 90% confidence interval C.I.Lower Limit 1.49 |=F4-F19 C.I.Upper Limit 51.01 =F4+F19 Part c Degrees of Freedom 19 |=F16-1 Test statistic 1.8333 =F4/(F8/SQRT(F16)) p-value 0.0825 |=T.DIST.2T(F30,F28) Significance Level (Alpha) 0.01 Can we conclude that there is difference between the mean scores? (Enter "Can conclude" or "Cannot conclude") cannot conclude =IF(F30<=F34,"Can conclude","cannot conclude")
Video
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?
(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.
) (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)
At a = .05, what is your conclusion?
Cannot conclude v that there is a difference between the mean scores for the no sibling and with sibling groups.
Transcribed Image Text:Video 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? (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. ) (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) At a = .05, what is your conclusion? Cannot conclude v that there is a difference between the mean scores for the no sibling and with sibling groups.
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