Question

As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01 . The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations are normally distributed, and that the population variances of scores are equal. Use Excel to calculate the degrees of freedom, critical value, and test statistic for the data set, rounding the critical value and test statistic to two decimal places.

Science Engineering Humanities Business

89 83 86 73

89 85 82 78

90 86 86 82

88 82 85 81

83 82 82 79

82 87 88 87

85 83 85 85

83 85 87 83

83 83 86 82

87 87 86 79

87 86 81 76

81 87 85 78

87 90 84 79

83 85 85 74

85 86 86 88

88 81 86 83

85 88 79 82

85 87 82 81

89 88 82 78

89 91 79 78

Answer #1

As part of its freshman orientation process, a college gives a
math placement exam to incoming freshmen. The math department is
interested in whether there is a statistically significant
difference in the average exam score for students in different
programs, at a level of α=0.01. The exam scores for random samples
of science, engineering, humanities, and business majors are shown
in the following table. The math department has confirmed that the
samples were randomly selected and independent, that the
populations...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

The following scores on the midterm exam in a math
class were recorded. Find IQR. 93 81 59 69 82 73 61 77 95 84 88 71
85 97 63 72 89 80 60 98 91 62 78 83 76 81 94 66 83 96

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Daughter's Performance on a Stanardized Math
Test
Mother's Performance on a Stanardized Math
Test
Father's Performance on a Stanardized Math
Test
84
90
72
65
70
85
91
86
81
75
82
83
81
84
84
79
93
72
83
72
70
92
90
88
61
74
68
73
60
82
85
83
72
90
93
94
54
64
69
70
78
62
Daughter -Mother Correlation:
Instructions: Indicate the correlation between
daughters and mothers' scores on the standardized math test...

Two different groups of students (freshman and seniors) take a
history test to determine their overall knowledge about U.S.
History. You are interested if seniors have more knowledge about
U.S. History compared to freshman. Treat Seniors as group 1 and
Freshmen as Group 2. The data for these two groups are below:
Seniors
Freshmen
80
79
86
80
89
82
75
81
79
72
96
74
82
89
84
84
91
78
85
90
What is the pooled variance?
35.72...

Mid Score
Final Score
80
78
87
85
72
81
69
54
86
70
83
73
78
89
75
84
74
86
75
79
84
75
73
63
74
72
73
69
80
86
75
78
72
75
77
68
76
77
66
78
74
77
71
73
85
79
74
74
76
79
76
73
84
72
77
81
78
86
86
76
81
83
78
83
85
86
73
71
83
83
83
79
72
68
83
90...

TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...

The Test Scores for a Statistics course are given in the Excel
below.
The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam
Your professor wants to know if all tests are created equal.
What is the F-Stat?
EXAM1
EXAM2
EXAM3
FINAL
73
80
75
65.86667
93
88
93
80.16667
89
91
90
78
96
98...

The data file ExxamScores shows the 40 students
in a TOM 3010 course exxam scores for the Middtermm and Final
exxam. Is there statistically significant evidence to show that
students score lower on their final exxam than middtermm exxam?
Provide the p-value for this analysis.ROUND TO 4 DECIMAL
PLACES.
ExxamScores
Student ID #
Middtermmm
Final
56065
97
64
79499
95
85
59716
89
72
83504
79
64
77735
78
74
57760
87
93
78204
83
70
81177
94
79
54398...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 34 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago