76.17 65.34 41.30 48.36 62.01 47.21 38.80 61.06 39.37 45.75 68.06 64.68 32.00 67.48 68.57 49.28 47.75 55.55 29.73 64.49 33.52 49.57 50.48 48.21 58 36 51. 61 42 45 46 06

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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4. An avid Mobile Legends player claims that he wins more when using SUPPORT heroes
compared with other heroes. A classmate tested his claim by randomly selecting 10 heroes per
role and recorded his win rates per hero. The data collected is listed below.
TANK
FIGHTER
ASSASSIN
MAGE
MARKSMEN SUPPORT
44.08
38.64
66.22
58.44
54.72
43.17
36.43
41.96
76.17
65.34
41.30
48.36
63.75
39.59
62.01
47.21
38.80
61.06
54.32
46.99
39.37
45.75
68.06
64.68
42.17
73.83
32.00
67.48
68.57
49.28
44.78
50.17
47.75
5.55
29.73
64.49
54.99
42.04
33.52
49.57
50.48
48.21
49.52
37.44
58.36
51.61
42.45
46.06
71.91
46.42
35.44
65.53
68.95
49.78
44.39
75.65
54.89
40.40
59.87
39.80
Is there sufficient evidence for the claim of the player to be true at 5% level of significance?
a. In words, Y =
b. In words, yij=
c. Ho:
d. Ha
e. The level of significance is
f. Determine the test statistic using the data (show solution).
g. Set up the ANOVA Table:
Source of
Variation
Sum of
F-statistic
df
MS
Squares
Between
Within
Total
h. Provide the decision rule of the test.
i. Decision:
j. Write a clear conclusion using the format:
Ac
i. <There is / There is no> sufficient evidence to reject the null hypothesis that Go
<insert null hypothesis in words> at <
% level of significance>.
Transcribed Image Text:4. An avid Mobile Legends player claims that he wins more when using SUPPORT heroes compared with other heroes. A classmate tested his claim by randomly selecting 10 heroes per role and recorded his win rates per hero. The data collected is listed below. TANK FIGHTER ASSASSIN MAGE MARKSMEN SUPPORT 44.08 38.64 66.22 58.44 54.72 43.17 36.43 41.96 76.17 65.34 41.30 48.36 63.75 39.59 62.01 47.21 38.80 61.06 54.32 46.99 39.37 45.75 68.06 64.68 42.17 73.83 32.00 67.48 68.57 49.28 44.78 50.17 47.75 5.55 29.73 64.49 54.99 42.04 33.52 49.57 50.48 48.21 49.52 37.44 58.36 51.61 42.45 46.06 71.91 46.42 35.44 65.53 68.95 49.78 44.39 75.65 54.89 40.40 59.87 39.80 Is there sufficient evidence for the claim of the player to be true at 5% level of significance? a. In words, Y = b. In words, yij= c. Ho: d. Ha e. The level of significance is f. Determine the test statistic using the data (show solution). g. Set up the ANOVA Table: Source of Variation Sum of F-statistic df MS Squares Between Within Total h. Provide the decision rule of the test. i. Decision: j. Write a clear conclusion using the format: Ac i. <There is / There is no> sufficient evidence to reject the null hypothesis that Go <insert null hypothesis in words> at < % level of significance>.
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