Answered: The mean age when people got married…

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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The mean age when people got married for the first time in the year 2000 was 26 years old with a population standard deviation of 6 years. A researcher thinks that marriage age has significantly changed since then. A survey of married persons of this generation was done to see if the mean age has changed. The sample of 50 married persons found that their mean age of first marriage was 27.7 years old. Do the data support the claim at the 10% significance level?

What are the correct hypotheses?

H₀: years

H_a: years

Based on the hypotheses, find the following:

Test Statistic z = (Give answer to at least 4 decimal places)

P-Value= (Give answer to at least 4 decimal places)

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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