1. Describe the distribution of the two variables of interest - gender and test scores - using a graphing technique and/or appropriate measures of central tendency and variability.
2. Describe the observed gender differences in the distribution of test scores using a graphing technique and/or appropriate measures of central tendency and variability.
3. Perform a statistical hypothesis test to assess whether the observed gender difference in test scores is statistically significant and interpret your results for your boss.
RAW DATA:
|
Student #
|
Gender
|
Test Score
|
|
1
|
Female
|
58
|
|
2
|
Male
|
78
|
|
3
|
Male
|
83
|
|
4
|
Male
|
97
|
|
5
|
Male
|
89
|
|
6
|
Female
|
95
|
|
7
|
Female
|
88
|
|
8
|
Male
|
92
|
|
9
|
Female
|
51
|
|
10
|
Female
|
68
|
|
11
|
Female
|
98
|
|
12
|
Male
|
81
|
|
13
|
Male
|
75
|
|
14
|
Female
|
98
|
|
15
|
Female
|
81
|
|
16
|
Male
|
92
|
|
17
|
Female
|
39
|
|
18
|
Male
|
66
|
|
19
|
Male
|
65
|
|
20
|
Female
|
91
|
|
21
|
Male
|
28
|
|
22
|
Female
|
62
|
|
23
|
Female
|
99
|
|
24
|
Male
|
85
|
|
25
|
Female
|
87
|
|
26
|
Female
|
65
|
|
27
|
Female
|
73
|
|
28
|
Female
|
100
|
|
29
|
Female
|
69
|
|
30
|
Male
|
63
|
|
31
|
Male
|
33
|
|
32
|
Female
|
100
|
|
33
|
Male
|
56
|
|
34
|
Male
|
81
|
|
35
|
Female
|
90
|
|
36
|
Male
|
79
|
|
37
|
Female
|
34
|
|
38
|
Female
|
89
|
|
39
|
Female
|
71
|
|
40
|
Female
|
84
|
|
41
|
Female
|
72
|
|
42
|
Female
|
85
|
|
43
|
Male
|
100
|
|
44
|
Male
|
45
|
|
45
|
Female
|
91
|
|
46
|
Female
|
78
|
|
47
|
Female
|
93
|
|
48
|
Male
|
67
|
|
49
|
Female
|
72
|
|
50
|
Female
|
89
|