An article appeared in an Australian newspaper. It described a study of academic performance and attention span and reported that the mean time to distraction for teenage boys working on an independent task was 5 minutes. Although the sample size was not given in the article, suppose that this mean was based on a random sample of 50 teenage Australian boys and that the sample standard deviation was 1.7 minutes. Is there convincing evidence that the average attention span for teenage boys is less than 6 minutes? Test the relevant hypotheses using ? = 0.01. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value = State the conclusion in the problem context. Do not reject H0. We do not have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.Reject H0. We do not have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes. Do not reject H0. We have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.Reject H0. We have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.

Name: An article appeared in an Australian newspaper. It described a study o
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Description: An article appeared in an Australian newspaper. It described a study of academic performance and attention span and reported that the mean time to distraction for teenage boys working on an independent task was 5 minutes. Although the sample size was

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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An article appeared in an Australian newspaper. It described a study of academic performance and attention span and reported that the mean time to distraction for teenage boys working on an independent task was 5 minutes. Although the sample size was not given in the article, suppose that this mean was based on a random sample of 50 teenage Australian boys and that the sample standard deviation was 1.7 minutes.

Is there convincing evidence that the average attention span for teenage boys is less than 6 minutes? Test the relevant hypotheses using

? = 0.01.

(Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.)

t= P-value =

State the conclusion in the problem context.

Do not reject H₀. We do not have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.Reject H₀. We do not have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes. Do not reject H₀. We have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.Reject H₀. We have convincing evidence that the mean time to distraction for Australian teenage boys is less than 6 minutes.

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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