(HYPOTHESIS TEST CONCERNING MEANS, PROPORTIONS, AND VARIANCES) SEATWORK:1. According to the school librarian, the average number of pagesof books in the reference section is 240. To test her claim, shecollected a sample of 15 books and after noting the number ofpages of each book, she determined that the mean number ofpages is 224.6 with a standard deviation of 4.1. At a = 0.01, willthe librarian be able to prove her claim?2. The standard deviation of the number of minutes of calls of acertain subscriber is 40 minutes per day. A sample of 10 daysgave a variance of 38 minutes. Test the hypothesis with a =that the standard deviation of the call usage is not equal to 40.0.05

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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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(HYPOTHESIS TEST CONCERNING MEANS, PROPORTIONS, AND VARIANCES)

SEATWORK:
1. According to the school librarian, the average number of pages
of books in the reference section is 240. To test her claim, she
collected a sample of 15 books and after noting the number of
pages of each book, she determined that the mean number of
pages is 224.6 with a standard deviation of 4.1. At a = 0.01, will
the librarian be able to prove her claim?
2. The standard deviation of the number of minutes of calls of a
certain subscriber is 40 minutes per day. A sample of 10 days
gave a variance of 38 minutes. Test the hypothesis with a =
that the standard deviation of the call usage is not equal to 40.
0.05

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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