Psychological Statistics - Testing Hypothesis about Means - T-testplease recheck 2. An educator wants to determine whether early exposure school will affect IQ.He enlists the aid of the parents of 12 pairs of pre-school-age identical twins whoagree to let their twins participate in the experiment. One member of each twin pairis enrolled in preschool for 2 years while the other member of each pair remains athome. At the end of 2 years, the IQs of all the children are measured. The resultsfollow: (Pagano, 2010) If proved significant, compute of the effect size.IQTwins at homePairTwins at preschool11101142121118310710341171121151176112106 713012581161139.111109101201221111711612106104

Given: IQ Pair Twins at preschool Twins at home 1 110 114 2 121 118…

Answered: IQ Twins at home Pair Twins at…

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Psychological Statistics - Testing Hypothesis about Means - T-test

please recheck

2. An educator wants to determine whether early exposure school will affect IQ.
He enlists the aid of the parents of 12 pairs of pre-school-age identical twins who
agree to let their twins participate in the experiment. One member of each twin pair
is enrolled in preschool for 2 years while the other member of each pair remains at
home. At the end of 2 years, the IQs of all the children are measured. The results
follow: (Pagano, 2010) If proved significant, compute of the effect size.
IQ
Twins at home
Pair
Twins at preschool
1
110
114
2
121
118
3
107
103
4
117
112
115
117
6
112
106

7
130
125
8
116
113
9.
111
109
10
120
122
11
117
116
12
106
104

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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