Answered: Each person in a random sample of 228…

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

Each person in a random sample of 228 male teenagers and a random sample of 303 female teenagers was asked how many hours he or she spent online in a typical week. The sample mean and standard deviation were 15.3 hours and 11.3 hours for males and 14.1and 11.8 for females. (Use a statistical computer package to calculate the P-value. Use ?_males − ?_females. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

t =
df =
P =

Is there enough evidence to show that mean number of hours spent online in a typical week is greater for male teenagers than for female teenagers? Use a 0.05 significance level.

Yes

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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