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Description: A study conducted by researchers at Pennsylvania State University investigated whether time perception, an indication of a person's ability to concentrate, is impaired during nicotine withdrawal. After a 24-hour smoking abstinence, 23 smokers were as

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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A study conducted by researchers at Pennsylvania State University investigated whether time perception, an indication of a person's ability to concentrate, is impaired during nicotine withdrawal. After a 24-hour smoking abstinence, 23 smokers were asked to estimate how much time had passed during a 30-second period. The average amount of perceived time that elapsed was 35.758 seconds with a standard deviation of 10.787 seconds. Is there evidence at the 0.05 level that nicotine withdrawal has a negative impact on time perception - that is, the mean perceived time elapsed is greater than the actual time period of 30 seconds?

HoHo: Select an answer ȳ μ p p̂ ? ≠ < = > HaHa:Select an answer μ p̂ p ȳ ? = > ≠ <
αα =
Test Statistic: t = (Note: round the t-score to two decimal places)
probability = Select an answer 0.0089 0.0178 0.9911
decision: Select an answer Reject H₀ Fail to reject H₀
At the 0.05 level, there Select an answer is is not significant evidence to conclude the mean perceived time elapsed is Select an answer less than different than greater than than seconds.

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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