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_Number Winner Loser Duration
1 Jens Sven 41
2 Sven Jens 76
3 Sven Jens 156
4 Sven Jens 151
5 Sven Jens 105
6 Jens Sven 71
7 Sven Jens 123
8 Sven Jens 111
9 Sven Jens 164
10 Sven Jens 116
11 Jens Sven 46
12 Sven Jens 88
13 Jens Sven 59
14 Jens Sven 47
15 Jens Sven 57
16 Sven Jens 108
17 Sven Jens 78
18 Sven Jens 94
19 Jens Sven 86
20 Jens Sven 60
21 Jens Sven 52
22 Jens Sven 64
23 Jens Sven 72
24 Jens Sven 56
25 Jens Sven 30
26 Sven Jens 173
27 Jens Sven 46
28 Jens Sven 80
29 Sven Jens 147
30 Jens Sven 87
31 Jens Sven 71
32 Sven Jens 146
33 Sven Jens 66
34 Jens Sven 62
35 Jens Sven 59
36 Sven Jens 173
37 Jens Sven 73
38 Jens Sven 75
39 Sven Jens 148
40 Jens Sven 73
41 Sven Jens 127
42 Sven Jens 108
43 Jens Sven 32
44 Jens Sven 61
45 Jens Sven 89
46 Jens Sven 34
47 Jens Sven 50
48 Jens Sven 62
49 Sven Jens 128
50 Sven Jens 73
51 Sven Jens 112
52 Sven Jens 125
53 Sven Jens 65
54 Sven Jens 141
55 Sven Jens 104
56 Sven Jens 123
57 Jens Sven 86
58 Jens Sven 49
59 Sven Jens 144
60 Sven Jens 103
61 Jens Sven 81
62 Sven Jens 65
63 Jens Sven 77
64 Jens Sven 64
65 Sven Jens 162
66 Sven Jens 155
67 Sven Jens 67
68 Sven Jens 91
69 Jens Sven 67
70 Sven Jens 137
71 Jens Sven 82
72 Jens Sven 86
73 Sven Jens 102
74 Sven Jens 101
75 Sven Jens 164
76 Jens Sven 31
77 Sven Jens 83
78 Sven Jens 173
79 Sven Jens 125
80 Jens Sven 49
81 Sven Jens 125
82 Sven Jens 115
83 Jens Sven 79
84 Jens Sven 64
85 Sven Jens 177
86 Sven Jens 124
87 Jens Sven 83
88 Sven Jens 162
89 Sven Jens 104
90 Sven Jens 135
91 Sven Jens 179
92 Jens Sven 88
93 Jens Sven 72
94 Sven Jens 66
95 Sven Jens 119
96 Sven Jens 177
97 Jens Sven 73
98 Sven Jens 137
99 Sven Jens 99
100 Sven Jens 159

 

Last Updated on March 30, 2021 by EssayPro