b. An experiment to investigate the effects of motor bearing brand on vibration records the following motor vibrations (in microns). Brand 1 11.6 13.2 14.4 15.3 13.6 14.7 Y1. = 82.8 Brand 2 16.3 17.2 15.9 16.3 17.0 17.1 Yz = 99,8 Brand 3 14.0 15.7 13.9 13.7 14.2 13.4 Y3. = 84.9 i) Construct an ANOVA table for the motor vibration readings given. ii) Show that the mean motor vibration is significantly different for at least one pair of brands of motor bearing. Use a 5% level of significance. iii) Conduct a least significant difference (LSD) comparison test, at a = 0.05, to determine which brand of motor bearing is different.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 24E
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b. An experiment to investigate the effects of motor bearing brand on vibration records the following
motor vibrations (in microns).
Brand 1
11.6
13.2
14.4
15.3
13.6
14.7
Y1. = 82.8
Brand 2
16.3
17.2
15.9
16.3
17.0
17.1
Yz = 99.8
Brand 3
14.0
15.7
13.9
13.7
14.2
13.4
y3. = 84.9
i) Construct an ANOVA table for the motor vibration readings given.
ii) Show that the mean motor vibration is significantly different for at least one pair of brands of motor
bearing. Use a 5% level of significance.
iii) Conduct a least significant difference (LSD) comparison test, at a = 0.05, to determine which brand
of motor bearing is different.
iv) Would it be appropriate to conduct an LSD test if the test in (ii) failed to reject the null hypothesis?
Given a reason why or why not.
Transcribed Image Text:b. An experiment to investigate the effects of motor bearing brand on vibration records the following motor vibrations (in microns). Brand 1 11.6 13.2 14.4 15.3 13.6 14.7 Y1. = 82.8 Brand 2 16.3 17.2 15.9 16.3 17.0 17.1 Yz = 99.8 Brand 3 14.0 15.7 13.9 13.7 14.2 13.4 y3. = 84.9 i) Construct an ANOVA table for the motor vibration readings given. ii) Show that the mean motor vibration is significantly different for at least one pair of brands of motor bearing. Use a 5% level of significance. iii) Conduct a least significant difference (LSD) comparison test, at a = 0.05, to determine which brand of motor bearing is different. iv) Would it be appropriate to conduct an LSD test if the test in (ii) failed to reject the null hypothesis? Given a reason why or why not.
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