A psychologist investigated whether there is a difference, on average, in IQ scores for twins. She randomly selected 30 sets of twins from a database and measured their IQs. The mean difference (firstborn – second-born) was 2.1 points with a standard deviation of 7.2 points. Do the data provide a convincing evidence of a difference, on average, in IQ scores for twins?DoPerform the calculations, then complete the conclusion.ConcludeBecause the P-value, which is , is = 0.05, we H0. We convincing evidence of , on average, in IQ scores for twins. A psychologist investigated whether there is a difference,on average, in IQ scores for twins. She randomlyselected 30 sets of twins from a database and measuredtheir IQs. The mean difference (firstborn - second-born)was 2.1 points with a standard deviation of 7.2 points. Dothe data provide a convincing evidence of a difference,on average, in IQ scores for twins?DoPerform the calculations, then complete the conclusion.ConcludeBecause the P-value, which isisHo. Wex = 0.05, weconvincing evidence ofIQ scores for twins.on average, in

given Sample size (n) = 30 Mean difference (x̄) = 2.1 Standard deviation (s) = 7.2

Answered: A psychologist investigated whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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A psychologist investigated whether there is a difference, on average, in IQ scores for twins. She randomly selected 30 sets of twins from a database and measured their IQs. The mean difference (firstborn – second-born) was 2.1 points with a standard deviation of 7.2 points. Do the data provide a convincing evidence of a difference, on average, in IQ scores for twins?

Perform the calculations, then complete the conclusion.

Conclude

Because the P-value, which is , is
= 0.05, we H₀. We convincing evidence of , on average, in IQ scores for twins.

A psychologist investigated whether there is a difference,
on average, in IQ scores for twins. She randomly
selected 30 sets of twins from a database and measured
their IQs. The mean difference (firstborn - second-born)
was 2.1 points with a standard deviation of 7.2 points. Do
the data provide a convincing evidence of a difference,
on average, in IQ scores for twins?
Do
Perform the calculations, then complete the conclusion.
Conclude
Because the P-value, which is
is
Ho. We
x = 0.05, we
convincing evidence of
IQ scores for twins.
on average, in

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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