In an experiment to study the effect of color of paper on response rate for questionnaire, 15 locations were chosen and one of three colors is randomly assigned to that location. The response rate (among 100 subjects) follow.Respond rate for different colorsBlueGreenOrange283431262925312527273129352928Test the claim that the mean response rates are the same for all colors. Use 0.10 as the significance level. Round you answer to 3 decimal places.Group of answer choicesp-value=0.684, evidence support claimp-value=0.962, evidence support claimp-value=0.684, evidence not support claimp-value=0.962, evidence not support claimp-value=0.096, evidence not support claim

The given claim is that the mean response rates are the same for all colors.

Answered: In an experiment to study the effect of…

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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In an experiment to study the effect of color of paper on response rate for questionnaire, 15 locations were chosen and one of three colors is randomly assigned to that location. The response rate (among 100 subjects) follow.

Respond rate for different colors

Blue	Green	Orange
28	34	31
26	29	25
31	25	27
27	31	29
35	29	28

Test the claim that the mean response rates are the same for all colors. Use 0.10 as the significance level. Round you answer to 3 decimal places.

Group of answer choices

p-value=0.684, evidence support claim

p-value=0.962, evidence support claim

p-value=0.684, evidence not support claim

p-value=0.962, evidence not support claim

p-value=0.096, evidence not support claim

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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