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.  Below are 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). What is the mean difference between the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings? 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 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 at a = .01. What is your conclusion?   No Siblings With Siblings Name SAT Score Name SAT Score Bob 440 Donald 420 Matthew 610 Ronald 540 Shannon 590 Kedriana 630 Tyler 390 Kevin 430 Michelle 410 Erin 460 Darius 430 Michael 490 Wilhelmina 510 Josephine 460 Donna 620 Jasmine 540 Drew 510 Kraig 460 Lucinda 680 Bernadette 650 Barry 580 Larry 450 Julie 610 Jennifer 640 Hannah 510 Diedra 460 Roger 630 Latishia 580 Garrett 570 Bart 490 Roger 630 Kara 640 Nancy 530 Rachel 560 Sam 590 Joey 610 Simon 500 Drew 520 Megan 610 Annie 640

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    1. 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.  Below are 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).
      1. What is the mean difference between the critical reading SAT scores for the twins raised with no siblings and the twins raised with siblings?
      2. 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
      3. 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 at a = .01. What is your conclusion?

     

    No Siblings

    With Siblings

    Name

    SAT Score

    Name

    SAT Score

    Bob

    440

    Donald

    420

    Matthew

    610

    Ronald

    540

    Shannon

    590

    Kedriana

    630

    Tyler

    390

    Kevin

    430

    Michelle

    410

    Erin

    460

    Darius

    430

    Michael

    490

    Wilhelmina

    510

    Josephine

    460

    Donna

    620

    Jasmine

    540

    Drew

    510

    Kraig

    460

    Lucinda

    680

    Bernadette

    650

    Barry

    580

    Larry

    450

    Julie

    610

    Jennifer

    640

    Hannah

    510

    Diedra

    460

    Roger

    630

    Latishia

    580

    Garrett

    570

    Bart

    490

    Roger

    630

    Kara

    640

    Nancy

    530

    Rachel

    560

    Sam

    590

    Joey

    610

    Simon

    500

    Drew

    520

    Megan

    610

    Annie

    640

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