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Name: Twelve different video games showing alcohol use were observed. The du
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Description: Twelve different video games showing alcohol use were observed. The duration times of alcohol use were recorded, with the times (seconds) listed below. Assume that these sample data are used with a 0.10 significance level in a test of the claim tha

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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Twelve different video games showing alcohol use were observed. The duration times of alcohol use were recorded, with the times (seconds) listed below. Assume that these sample data are used with a 0.10 significance level in a test of the claim that the population mean is greater than 85 sec. If we want to construct a confidence interval to be used for testing that claim, what confidence level should be used for a confidence interval? If the confidence interval is found to be 19.1 sec<μ<195.9 sec, what should we conclude about the claim?

82 14 608 50 0 55 208 45 165 0 2 61

The confidence level should be %?

The given confidence interval▼

does not contain

contains

the value of 85 sec, so there ▼

is not

is sufficient evidence to support the claim that the mean is greater than 85 sec.

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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