Internet addiction has been described as excessive and uncontrolled Internet use. The authors of a research article used a score designed to measure the extent and severity of Internet addiction in a study of 835 male and 873 female sixth-grade students in China. Internet Addiction was measured using Young's Internet Addiction Diagnostic Test. The lowest possible score on this test is zero, and higher scores indicate higher levels of Internet addiction. For the sample of males, the mean Internet Addiction score was 1.53 and the standard deviation was 2.02. For the sample of females, the mean was 1.07 and the standard deviation was 1.68. For purposes of this exercise, you can assume that it is reasonable to regard these two samples as representative of the population of male Chinese sixth-grade students and the population of female Chinese sixth grade students, respectively. (a) The standard deviation is greater than the mean for each of these samples. Explain why it is not reasonable to think that the distribution of Internet Addiction scores would be approximately normal for either the population of male Chinese sixth-grade students or the population of female Chinese sixth-grade students. (Round your numeric values to two decimal place.) If the distributions were both approximately normal, then % of the male Internet Addiction scores would be negative, and % of the female Internet Addiction scores would be negative. Assuming that the scores must be positive, these percentages are too large to make it reasonable to believe that the distributions are approximately normal.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Internet addiction has been described as excessive and uncontrolled Internet use. The authors of a research article used a score designed to measure the extent and severity of Internet addiction in a study of 835 male and 873 female sixth-grade students in China. Internet Addiction was measured using Young's Internet Addiction Diagnostic Test. The lowest possible score on this test is zero, and higher scores indicate higher levels of Internet addiction. For the sample of males, the mean Internet Addiction score was 1.53 and the standard deviation was 2.02. For the sample of females, the mean was 1.07 and the standard deviation was 1.68. For purposes of this exercise, you can assume that it is reasonable to regard these two samples as representative of the population of male Chinese sixth-grade students and the population of female Chinese sixth grade students, respectively.

(a)

The standard deviation is greater than the mean for each of these samples. Explain why it is not reasonable to think that the distribution of Internet Addiction scores would be approximately normal for either the population of male Chinese sixth-grade students or the population of female Chinese sixth-grade students. (Round your numeric values to two decimal place.)

If the distributions were both approximately normal, then % of the male Internet Addiction scores would be negative, and % of the female Internet Addiction scores would be negative. Assuming that the scores must be positive, these percentages are too large to make it reasonable to believe that the distributions are approximately normal.

Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)

t=P-value=

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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