Answered: Consider a dataset containing the…

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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Question

Consider a dataset containing the heights of 38 females who said they prefer to sit in
the front of the classroom yields a sample average of 62 inches and a sample
standard deviation of 2.5 inches. Suppose that the average height for the general
population of college females is 65 inches. An analyst wants to test the claim that
the true average height of females who prefer to sit in the front of the classroom is
lower than it is for the general population.

Comparing your conclusion using the 95% Cl for the true average height to the TRUTH that the mean height of females who prefer to sit in front of the classroom as 60 inches, we have that:

a) a Type II error has occured

b) the decision/conclusion is not an error

c) no assessment can be made because normality is not given

d) a Type I error has occured

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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