3. (6 pts) Having done poorly on their Math finals in June, eight students repeat the course in summer school and take another exam in August. June 54 49 68 66 58 60 62 62 August 50 65 74 64 56 65 68 72 If we consider these students to be representative of all students who might attend this summer school in other years, do these results provide evidence that the program is worthwhile? (a) Set up the appropriate Ho and H. (b) Propose a formula to calculate the test statistic and report the result. (Assume the population follow a normal distribution) (c) Find the P-value and make your conclusion at a =.05.
3. (6 pts) Having done poorly on their Math finals in June, eight students repeat the course in summer school and take another exam in August. June 54 49 68 66 58 60 62 62 August 50 65 74 64 56 65 68 72 If we consider these students to be representative of all students who might attend this summer school in other years, do these results provide evidence that the program is worthwhile? (a) Set up the appropriate Ho and H. (b) Propose a formula to calculate the test statistic and report the result. (Assume the population follow a normal distribution) (c) Find the P-value and make your conclusion at a =.05.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:3. (6 pts) Having done poorly on their Math finals in June, eight students repeat the
course in summer school and take another exam in August.
June
54
49
68
66
58
60
62
62
August
50
65
74
64
56
65
68
72
If we consider these students to be representative of all students who might attend this
summer school in other years, do these results provide evidence that the program is
worthwhile?
(a) Set up the appropriate H, and H..
(b) Propose a formula to calculate the test statistic and report the result. (Assume the
population follow a normal distribution)
(c) Find the P-value and make your conclusion at a =.05.
1
Expert Solution
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Step 1
(a) ; i.e; if the scores is improved, then the scores of August will be greater than scores of August
We will use a paired t-test.
From the following table we calculate the mean difference and standard deviation
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