Answered: AOL Time Warner Inc.'s CNN has been 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

AOL Time Warner Inc.'s CNN has been the longtime ratings leader of cable television news. Nielsen
Media Research indicated that the mean CNN viewing audience was 600,000 viewers per day during
2002 (The Wall Street Journal, March 10, 2003). Assume that for a sample of 40 days during the first
half of 2003, the daily audience was 612,000 viewers with a sample standard deviation of 65,000
viewers.
a. Develop the hypotheses if CNN management would like information on an increase in the CNN
viewing audience.
b. Determine the test statistic and the associated p-value.
c. Select a level of significance. What is your conclusion?

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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