Statistics assignment 6

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STAT 212 – Assignment 6

Data Description and Background

In this assignment we will continue to work with the data pertaining to the Carllson brother’s competition over who is the better Strategema player. For the 100 games they played, besides indicating who was the winner/loser, the duration of the games (in seconds) was also provided. This is variable we will be focusing on for this assignment. Answer or perform the following:

1) For the games Sven won, provide an estimate of the mean time it takes Sven to beat his brother. Similarly, for the games Jens won, provide an estimate of the mean time it takes for Jens to beat his brother. – 1 pt

2) Construct two QQ-plots, one displaying the durations of the games Sven won, and another displaying the durations of the games Jens won. (Note: When making the QQ-plots, treat them as two separate datasets.) – 2 pt

3) Using the QQ-Plots in part 2, is it plausible to conclude that the distribution of duration for the games Sven won follows a Normal Distribution? Analogously, is it plausible to conclude that the distribution of duration for the games Jens won follows a Normal Distribution? – 1 pts

4) Let S denote the mean duration of games Sven wins. Similarly, let J denote the mean duration of the games Jens wins. Construct a two-sided 70% confidence interval for the quantity, = S – J. Do not assume the standard deviation of the durations are the same for both brother’s wins. – 2 pt

5) Sven won 56 out of the 100 games (see assignment 5 solutions). Based on the prior fact, one might conclude Sven is the better Strategema player. After analyzing the game durations in the previous problems, would you agree with the assessment that Sven is the better player? – 1 pts

Game_NumberWinnerLoserDuration
1JensSven41
2SvenJens76
3SvenJens156
4SvenJens151
5SvenJens105
6JensSven71
7SvenJens123
8SvenJens111
9SvenJens164
10SvenJens116
11JensSven46
12SvenJens88
13JensSven59
14JensSven47
15JensSven57
16SvenJens108
17SvenJens78
18SvenJens94
19JensSven86
20JensSven60
21JensSven52
22JensSven64
23JensSven72
24JensSven56
25JensSven30
26SvenJens173
27JensSven46
28JensSven80
29SvenJens147
30JensSven87
31JensSven71
32SvenJens146
33SvenJens66
34JensSven62
35JensSven59
36SvenJens173
37JensSven73
38JensSven75
39SvenJens148
40JensSven73
41SvenJens127
42SvenJens108
43JensSven32
44JensSven61
45JensSven89
46JensSven34
47JensSven50
48JensSven62
49SvenJens128
50SvenJens73
51SvenJens112
52SvenJens125
53SvenJens65
54SvenJens141
55SvenJens104
56SvenJens123
57JensSven86
58JensSven49
59SvenJens144
60SvenJens103
61JensSven81
62SvenJens65
63JensSven77
64JensSven64
65SvenJens162
66SvenJens155
67SvenJens67
68SvenJens91
69JensSven67
70SvenJens137
71JensSven82
72JensSven86
73SvenJens102
74SvenJens101
75SvenJens164
76JensSven31
77SvenJens83
78SvenJens173
79SvenJens125
80JensSven49
81SvenJens125
82SvenJens115
83JensSven79
84JensSven64
85SvenJens177
86SvenJens124
87JensSven83
88SvenJens162
89SvenJens104
90SvenJens135
91SvenJens179
92JensSven88
93JensSven72
94SvenJens66
95SvenJens119
96SvenJens177
97JensSven73
98SvenJens137
99SvenJens99
100SvenJens159

 

Last Updated on March 30, 2021