Answered: Someone once told me that the average…

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

Someone once told me that the average age of college students is 27.
Does this value fall within the confidence interval? Assuming
that this is the true mean age with a standard deviation of σ=6,
what is the probability of seeing a mean age (of a sample of
n=32) less than 24? Does this provide evidence that the true
mean of stat 243 students is less than 27? Can we generalize
this result to all college students?

For this homework, we will be revisiting the age data used in homework
#2:
18
20
18 18 19 19 19 19 19 19 19 19
21
19 19
21 21 22 22 22 23 24 26 28 31 32
20
20
36
41
20
44

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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