weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.H0: μ1 = μ2 = μ3Ha: At least two of the means differ from each otherForumla AForumla BForumla C5139.453.655.855.142.453.833.150.143.258.740.442.140.446.950.11945.659.543.248.735.432.249.545.216.456.1 Run a one-factor ANOVA with α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.F = p-value = Based on the p-value, what is the conclusionReject the null hypothesis: at least one of the group means is differentFail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

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Description: weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a signific

State the hypotheses. That is, the three formulas produce the same mean weight gain. That is, at…

Answered: weight is recorded in grams. Linda…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.

H₀: μ₁ = μ₂ = μ₃
H_a: At least two of the means differ from each other

Forumla A	Forumla B	Forumla C
51	39.4	53.6
55.8	55.1	42.4
53.8	33.1	50.1
43.2	58.7	40.4
42.1	40.4	46.9
50.1	19	45.6
59.5	43.2	48.7
35.4	32.2	49.5
45.2	16.4	56.1

Run a one-factor ANOVA with α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.

F =
p-value =

Based on the p-value, what is the conclusion

Reject the null hypothesis: at least one of the group means is different
Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different

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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