Answered: Find the test statistic and P-value

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

16.1 #7

The following computer output and summary values are based on simulated data that are consistent with information and conclusions given in the paper. Use the given output to determine if there is evidence to support the claim that the mean average speed is not the same for all three treatments. Use a significance level of 0.05 for your test.

Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)

P-value=

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Factor	2	1186	592.8	2.62	0.078
Error	84	18977	225.9
Total	86	20163

Means

Factor	N	Mean	StDev	95% CI
Stretching Method 1	29	86.25	15.97	(80.18, 92.32)
Stretching Method 2	29	90.36	17.05	(83.87, 96.85)
No Stretching	29	95.28	11.49	(90.91, 99.65)

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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