Answered: The average American gets a haircut…

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 average American gets a haircut every 39 days. Do college students get their hair cut less frequently? The data below shows the results of a survey of college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 40, 43, 57, 60, 39, 35, 51, 23, 30, 43, 56, 48, 36, 31, 44, 50, 60 What can be concluded at the 0.05 level of significance? Helpful Videos:CalculationsLinks to an external site., Set-upLinks to an external site., InterpretationsLinks to an external site. HintLinks to an external site. Textbook PagesLinks to an external site. H0: mu.gif = 39 Ha: mu.gif [ Select ] 39 Test statistic: [ Select ] p-Value = [ Select ] [ Select ] Conclusion: There is sufficient evidence to make the conclusion that the population mean number of days between haircuts for college students is more than 39.

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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