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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Description: 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 w

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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. 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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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