In the table below, average years of education are reported by social class based on data from the 2018 General Social Survey. MeanStandard DeviationNLower class12.193.08102Working class13.162.93523Middle class14.602.88498Upper class15.213.0134Construct the 95% confidence interval for the mean number of years of education for lower- and working-class respondents.Construct the 99% confidence interval for the mean number of years of education for lower-class and middle-class respondents.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the table below, average years of education are reported by social class based on data from the 2018 General Social Survey.

	Mean	Standard Deviation	N
Lower class	12.19	3.08	102
Working class	13.16	2.93	523
Middle class	14.60	2.88	498
Upper class	15.21	3.01	34

Construct the 95% confidence interval for the mean number of years of education for lower- and working-class respondents.
Construct the 99% confidence interval for the mean number of years of education for lower-class and middle-class respondents.

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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