Is there a significant difference between the population means of group 1 and group 2 kindergarten children on a social perceptiveness measures at 0.05 level? Consider the data below Group 1 Group 2Mean 21.3 18.1Sd 5.8 7.5N 15 10 1. Is there a significant difference between thepopulation means of group 1 and group 2kindergarten children on a social perceptivenessmeasures at 0.05 level? Consider the data belowGroup 121.3MeanSdN5.815Group 218.17.510

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

Is there a significant difference between the
population means of group 1 and group 2
kindergarten children on a social perceptiveness
measures at 0.05 level? Consider the data below
Group 1 Group 2
Mean 21.3 18.1
Sd 5.8 7.5
N 15 10

1. Is there a significant difference between the
population means of group 1 and group 2
kindergarten children on a social perceptiveness
measures at 0.05 level? Consider the data below
Group 1
21.3
Mean
Sd
N
5.8
15
Group 2
18.1
7.5
10

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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