Answered: A class is made out of 22 students, 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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A class is made out of 22 students, The sample mean is 26.91, and the sample st. dev is 10.46.

Gender	F	F	M	F	F	F	M	F	M	F	F	M	F	F	F	M	F	M	F	M	M	F
Age	39	19	17	44	33	22	48	21	29	28	28	21	54	19	18	23	21	21	19	23	18	27

For the average age, form a 95% confidence interval:
o What distribution should be used?
o What is the critical value?
o What is the error bound?
o What is the lower bound?
o What is the upper bound?
o How do we interpret the results, in context of our study?

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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