Media Metrix, Inc. tracks Internet users in seven countries: Australia, Great Britain, Canada, France, Germany, Japan, and the United State. According to resent measurement figures, American home users rank first in Internet usage with a mean of 14 hours per month. Assume that in a following-up study involving a sample of 205 Canadian Internet users, the sample mean was 12.8 hours per month and the sample standard deviation was 6.2 hours.Formulate the null and alterative hypotheses that can be used to determine whether the sample data support the conclusion that Canadian Internet users have a population mean less than the U.S. mean of 14 hours per monthWhat is the p-value?Using α =0.01, what is your conclusion?Test the hypotheses using the critical value approach (α =0.01).

Name: Media Metrix, Inc. tracks Internet users in seven countries: Australia
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Description: Media Metrix, Inc. tracks Internet users in seven countries: Australia, Great Britain, Canada, France, Germany, Japan, and the United State. According to resent measurement figures, American home users rank first in Internet usage with a mean of 14 h

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Media Metrix, Inc. tracks Internet users in seven countries: Australia, Great Britain, Canada, France, Germany, Japan, and the United State. According to resent measurement figures, American home users rank first in Internet usage with a mean of 14 hours per month. Assume that in a following-up study involving a sample of 205 Canadian Internet users, the sample mean was 12.8 hours per month and the sample standard deviation was 6.2 hours.
1. Formulate the null and alterative hypotheses that can be used to determine whether the sample data support the conclusion that Canadian Internet users have a population mean less than the U.S. mean of 14 hours per month
2. What is the p-value?
3. Using α =0.01, what is your conclusion?
4. Test the hypotheses using the critical value approach (α =0.01).

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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