Brock is interested in determining if 3 different antibiotics have different recovery times. He collected data on 6 patients taking each type of antibiotic (for a total of 18 patients) and ran the test using JMP software (partial results shown in table below). Assuming all conditions are met, conduct the appropriate hypothesis test using a significance level of 0.01.38. What value belongs in blank space B? a.2 b.3 c.17 d.18 e.Impossible to Determine39. What value belongs in blank space E? a.Impossible to Determine b.647.17 c.1545.83 d.43.14 e.103.0640. What are the appropriate hypotheses? a.H0: p1 = p2 HA: p1 ≠ p2 b.H0: μAntibiotic 1 = μAntibiotic 2 = μAntibiotic 3 HA: μAntibiotic 1 ≠ μAntibiotic 2 ≠ μAntibiotic 3 c.H0: μd = 0 HA: μd ≠ 0 d.H0: μAntibiotic 1 = μAntibiotic 2 = μAntibiotic 3 HA: At least 1 mean recovery time is different e.H0: μAntibiotic 1 ≠ μAntibiotic 2 ≠ μAntibiotic 3 HA: μAntibiotic 1 = μAntibiotic 2 = μAntibiotic 3 SourceDFSum ofMean Square FRatioProb >FSquaresAntibioticВ449.33224.675.2070.0192Error15 DEC. Total1096.50

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Description: Brock is interested in determining if 3 different antibiotics have different recovery times. He collected data on 6 patients taking each type of antibiotic (for a total of 18 patients) and ran the test using JMP software (partial results shown in ta

Given Number of different antibiotics=k=3 Total number of patients=N=18

Answered: What value belongs in blank space B?…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Brock is interested in determining if 3 different antibiotics have different recovery times. He collected data on 6 patients taking each type of antibiotic (for a total of 18 patients) and ran the test using JMP software (partial results shown in table below). Assuming all conditions are met, conduct the appropriate hypothesis test using a significance level of 0.01.

38. What value belongs in blank space B?

	a.	2
	b.	3
	c.	17
	d.	18
	e.	Impossible to Determine

39. What value belongs in blank space E?

	a.	Impossible to Determine
	b.	647.17
	c.	1545.83
	d.	43.14
	e.	103.06

40. What are the appropriate hypotheses?

	a.	H₀: p₁ = p₂ H_A: p₁ ≠ p₂
	b.	H₀: μ_{Antibiotic 1} = μ_{Antibiotic 2} = μ_{Antibiotic 3} H_A: μ_{Antibiotic 1} ≠ μ_{Antibiotic 2} ≠ μ_{Antibiotic 3}
	c.	H₀: μ_d = 0 H_A: μ_d ≠ 0
	d.	H₀: μ_{Antibiotic 1} = μ_{Antibiotic 2} = μ_{Antibiotic 3} H_A: At least 1 mean recovery time is different
	e.	H₀: μ_{Antibiotic 1} ≠ μ_{Antibiotic 2} ≠ μ_{Antibiotic 3} H_A: μ_{Antibiotic 1} = μ_{Antibiotic 2} = μ_{Antibiotic 3}

Source
DF
Sum of
Mean Square FRatio
Prob >F
Squares
Antibiotic
В
449.33
224.67
5.207
0.0192
Error
15 D
E
C. Total
1096.50

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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