The sample of individual students' test scores was drawn from the total number of students taking the course the 'Theory and Practice of Peace and Conflict' (3credit hour per week) in the academic year 2014 second semester. Their test scores were recorded and shown in the following table. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Marks 23.0 12.0 15.0 15.0 24.0 26.5 17.0 27.0 34.5 24.5 21.5 9.50 16.5 30.0 27.0 Student 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Marks 9.50 15.5 12.5 25.0 10.0 39.0 30.0 35.5 36.0 32.5 38.5 37.0 35.5 29.5 37.0 a) Use any statistical software to generate the descriptive statistics for the above data. The statistics generated should include the values of sample mean, sample standard deviation, and sample size. b) Construct the 95% confidence interval for the population mean and interpret the interval. Based on the interval, explain the result. c) Construct the 95% confidence interval for the population standard deviation and interpret the interval. Based on the interval, explain the result. d) Use p-value to test whether the population mean of students' test scores is greater than 20 at a = 0.05. You should include a statistical output in your answer.
The sample of individual students' test scores was drawn from the total number of students taking the course the 'Theory and Practice of Peace and Conflict' (3credit hour per week) in the academic year 2014 second semester. Their test scores were recorded and shown in the following table. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Marks 23.0 12.0 15.0 15.0 24.0 26.5 17.0 27.0 34.5 24.5 21.5 9.50 16.5 30.0 27.0 Student 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Marks 9.50 15.5 12.5 25.0 10.0 39.0 30.0 35.5 36.0 32.5 38.5 37.0 35.5 29.5 37.0 a) Use any statistical software to generate the descriptive statistics for the above data. The statistics generated should include the values of sample mean, sample standard deviation, and sample size. b) Construct the 95% confidence interval for the population mean and interpret the interval. Based on the interval, explain the result. c) Construct the 95% confidence interval for the population standard deviation and interpret the interval. Based on the interval, explain the result. d) Use p-value to test whether the population mean of students' test scores is greater than 20 at a = 0.05. You should include a statistical output in your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![The sample of individual students' test scores was drawn from the total number of students taking the
course the 'Theory and Practice of Peace and Conflict' (3credit hour per week) in the academic year
2014 second semester. Their test scores were recorded and shown in the following table.
Student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Marks
23.0
12.0
15.0
15.0
24.0
26.5
17.0
27.0
34.5
24.5
21.5
9.50
16.5
30.0
27.0
Student
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Marks
9.50
15.5
12.5
25.0
10.0
39.0
30.0
35.5
36.0
32.5
38.5
37.0
35.5
29.5
37.0
a) Use any statistical software to generate the descriptive statistics for the above data. The statistics
generated should include the values of sample mean, sample standard deviation, and sample size.
b) Construct the 95% confidence interval for the population mean and interpret the interval. Based
on the interval, explain the result.
c) Construct the 95% confidence interval for the population standard deviation and interpret the
interval. Based on the interval, explain the result.
d) Use p-value to test whether the population mean of students' test scores is greater than 20 at a
0.05. You should include a statistical output in your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcf46b39-a4de-4550-911a-79a8807d2b3f%2F3e072ef5-3b29-4e48-b265-d6f47fb8ce94%2Fk250cjn_processed.png&w=3840&q=75)
Transcribed Image Text:The sample of individual students' test scores was drawn from the total number of students taking the
course the 'Theory and Practice of Peace and Conflict' (3credit hour per week) in the academic year
2014 second semester. Their test scores were recorded and shown in the following table.
Student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Marks
23.0
12.0
15.0
15.0
24.0
26.5
17.0
27.0
34.5
24.5
21.5
9.50
16.5
30.0
27.0
Student
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Marks
9.50
15.5
12.5
25.0
10.0
39.0
30.0
35.5
36.0
32.5
38.5
37.0
35.5
29.5
37.0
a) Use any statistical software to generate the descriptive statistics for the above data. The statistics
generated should include the values of sample mean, sample standard deviation, and sample size.
b) Construct the 95% confidence interval for the population mean and interpret the interval. Based
on the interval, explain the result.
c) Construct the 95% confidence interval for the population standard deviation and interpret the
interval. Based on the interval, explain the result.
d) Use p-value to test whether the population mean of students' test scores is greater than 20 at a
0.05. You should include a statistical output in your answer.
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