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Please complete by Sunday, April 4th 6:00 PM Eastern Standard Time. Show all your work on the Microsoft word file using excel.

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

STAT 212 – Assignment 6

Due Date: April 5th, 2021

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

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