Probability and Statistical Analysis: Week One Homework Assignment
Homework assignment on probability and statistics.
Claire Mitchell
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Probability and Statistical Analysis: Week One Homework
Assignment
Week One Homework Assignment
1. A total of 1,300 students have completed the MAT 103 course during the past ten years.
A random sample consisting of 25 students who completed the course during the past ten
years was selected and their final course grades are summarized in the following table.
Assuming the sample group is representative of prior students who have completed MAT
103, and assuming prior students who have completed the course are representative of
future students who will take the course, what is the 95% confidence interval estimate for
the mean grade for a future student enrolling in the MAT 103 course?
Student No. Course Grade
1 83.17
2 82.31
3 90.18
4 93.63
5 90.14
6 96.06
7 83.75
8 85.17
9 86.67
10 93.81
11 83.11
12 82.16
13 89.48
14 86.76
15 83.76
16 86.89
17 88.57
18 96.93
19 86.48
20 95.82
21 92.32
22 78.7
23 92.67
24 74.56
25 78.48
Sample mean (x-bar) = 87.26
Sample standard deviation (s) = 5.89
Assignment
Week One Homework Assignment
1. A total of 1,300 students have completed the MAT 103 course during the past ten years.
A random sample consisting of 25 students who completed the course during the past ten
years was selected and their final course grades are summarized in the following table.
Assuming the sample group is representative of prior students who have completed MAT
103, and assuming prior students who have completed the course are representative of
future students who will take the course, what is the 95% confidence interval estimate for
the mean grade for a future student enrolling in the MAT 103 course?
Student No. Course Grade
1 83.17
2 82.31
3 90.18
4 93.63
5 90.14
6 96.06
7 83.75
8 85.17
9 86.67
10 93.81
11 83.11
12 82.16
13 89.48
14 86.76
15 83.76
16 86.89
17 88.57
18 96.93
19 86.48
20 95.82
21 92.32
22 78.7
23 92.67
24 74.56
25 78.48
Sample mean (x-bar) = 87.26
Sample standard deviation (s) = 5.89
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Subject
Statistics