Answered: Can the duration of musicians’…

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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Question

Can the duration of musicians’ performance be explained by the type of music they play? The data for a hypothetical One Way ANOVA is shown below, along with the summary data and a boxplot.

a. Please state H₀ and H₁

b. Is the Tukey post hoc test called for? Justify. Note that you are asked, as part of your answer, to report both variance estimates and the test statistic, which have been left blank; please show your work for these.

c. A portion of the q table is given below. If Tukey is called for, use the q table to report the HSD.

d. If Tukey is called for, please perform it on the answer sheet.

e. If Tukey is called for, please identify the clusters.

Rock Bluegrass
35
Classical
SUMMARY
droups
Folk
Sure
Averoge Volance
227 37.83333 930007
Count
60
36
62
ROck
Blueeras
Folk
35
62
39
67
393
18.7
2440.6666711 B6667
68.5
40
36
38
65
68
Classical
16:
411
13.9
65
40
71
41
70
43:
71
42
71
46
72
ANOVA
Alpha = 0.05
crit
831E 13 3.0098391
!!
S5
df
Source of Variotion
Between Groups
Within Groups
MS
4671.458
269.1667
20
12969 26376-32197.82 119 45 397 42.357
Total
4940.625
23
S0 S 750 LA 7
1089T OLES FEO FEE SEE
Duration
S SIE 109 S 767
244 5432
23
21 3.326 EZ6
24- 2919
a2911 352 E

Expert Solution

Part a

The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4

Ha: At least one means is not equal

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