According to the ANOVA table below for mean systolic blood pressure treatments, a proper conclusion will be: Source ofvariation Sums of Squares(SS)Degrees of freedom (df) Mean Squares(MS) FBetween treatments2380.421190.221.1Error or residual846.21556.4 Total3226.617 Group of answer choicesWe reject H0 because 21.1 ≥ 3.68. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.We reject H0 because 21.1 ≥ 3.29. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.We reject H0 because 21.1 ≥ 3.68. We do not have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.We do not reject H0 because 21.1 ≥ 3.68. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.

Given that Source of variation Sums of Squares (SS) Degrees of freedom (df) Mean…

Answered: esidual 846.2 15 56.4 Total…

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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According to the ANOVA table below for mean systolic blood pressure treatments, a proper conclusion will be:

Source of variation	Sums of Squares (SS)	Degrees of freedom (df)	Mean Squares (MS)	F
Between treatments	2380.4	2	1190.2	21.1
Error or residual	846.2	15	56.4
Total	3226.6	17

Group of answer choices

We reject H₀ because 21.1 ≥ 3.68. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.

We reject H₀ because 21.1 ≥ 3.29. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.

We reject H₀ because 21.1 ≥ 3.68. We do not have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.

We do not reject H₀ because 21.1 ≥ 3.68. We have statistically significant evidence at α = 0.05 to show that there is a difference in mean systolic blood pressure among treatments.

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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