For Numbers 24 to 26: Three veterinary x-ray equipment (A, B, and C) are being tested for efficiency in accurately measuring thorax thickness (in cm) of dogs. Twelve dogs of the same breed and age were randomly assigned to each of the x-ray equipment (i.e., 4 dogs per equipment). The difference in the recorded value of the machine from the reading of a standard and commercially available x- ray equipment was recorded. R-outputs are provided below: --- Wilk-Shapiro Test for Normality equipment: B data: diff_reading W=0.90886 p-value = 0.4764 equipment: A data: diff_reading W=0.91474 p-value=0.5079 equipment Residuals equipment: C data: diff_reading Bartlett test of homogeneity of variances data: diff_reading by equipment Bartlett's K-squared 2.712, df = 2, p-value = 0.2577 Df Sum Sq 2 0.5887 9 0.6588 W=0.95239 p-value = 0.7311 Analysis of Variance Mean Sq F value Pr (>F) 0.2944 4.021 0.0565. 0.0732 Signif. codes: 0 ***** 0.001 ** 0.01 * 0.05. 0.11

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 6AR
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For Numbers 24 to 26: Three veterinary x-ray equipment (A, B, and C) are being tested for efficiency
in accurately measuring thorax thickness (in cm) of dogs. Twelve dogs of the same breed and age
were randomly assigned to each of the x-ray equipment (i.e., 4 dogs per equipment). The difference
in the recorded value of the machine from the reading of a standard and commercially available x-
ray equipment was recorded. R-outputs are provided below:
equipment: A
data: diff_reading
W = 0.91474
p-value = 0.5079
Wilk-Shapiro Test for Normality
equipment: B
data: diff reading
W = 0.90886
p-value = 0.4764
equipment
Residuals
Bartlett test of homogeneity of variances
data: diff_reading by equipment
Bartlett's K-squared = 2.712, df 2, p-value
Df Sum Sq
2 0.5887
9 0.6588
Signif. codes:
equipment: C
data: diff_reading
W = 0.95239
p-value = 0.7311
=
Analysis of Variance
Mean Sq F value Pr (>F)
0.2944 4.021 0.0565.
0.0732
1***1
0
0.2577
*' 0.001 '**' 0.01 *** 0.05 '.' 0.1
W
1
Transcribed Image Text:For Numbers 24 to 26: Three veterinary x-ray equipment (A, B, and C) are being tested for efficiency in accurately measuring thorax thickness (in cm) of dogs. Twelve dogs of the same breed and age were randomly assigned to each of the x-ray equipment (i.e., 4 dogs per equipment). The difference in the recorded value of the machine from the reading of a standard and commercially available x- ray equipment was recorded. R-outputs are provided below: equipment: A data: diff_reading W = 0.91474 p-value = 0.5079 Wilk-Shapiro Test for Normality equipment: B data: diff reading W = 0.90886 p-value = 0.4764 equipment Residuals Bartlett test of homogeneity of variances data: diff_reading by equipment Bartlett's K-squared = 2.712, df 2, p-value Df Sum Sq 2 0.5887 9 0.6588 Signif. codes: equipment: C data: diff_reading W = 0.95239 p-value = 0.7311 = Analysis of Variance Mean Sq F value Pr (>F) 0.2944 4.021 0.0565. 0.0732 1***1 0 0.2577 *' 0.001 '**' 0.01 *** 0.05 '.' 0.1 W 1
A. I only
26. The study was repeated, but with increased sample size, and it was concluded that at least one
equipment led to a different average difference in the recorded thorax thickness. The summary
of the pair-wise comparison in dot notation is provided below.
A. I only
Equipment Mean
B
A
B. Il only
1.2025
0.925
0.66
Summary
1
Which of the following is(are) TRUE based on the summary?
1. The difference between the averages of equipment C and A is statistically significant.
II. If equipment C would require lower cost in production compared to equipment B, it is
justifiable to choose equipment C since the two are not significantly different.
1
C. Both I and II
D. Neither I nor ll
Transcribed Image Text:A. I only 26. The study was repeated, but with increased sample size, and it was concluded that at least one equipment led to a different average difference in the recorded thorax thickness. The summary of the pair-wise comparison in dot notation is provided below. A. I only Equipment Mean B A B. Il only 1.2025 0.925 0.66 Summary 1 Which of the following is(are) TRUE based on the summary? 1. The difference between the averages of equipment C and A is statistically significant. II. If equipment C would require lower cost in production compared to equipment B, it is justifiable to choose equipment C since the two are not significantly different. 1 C. Both I and II D. Neither I nor ll
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