Question: 18. An educator has constructed a test for mechanical aptitude. He wants to determine how reliable the test is over two administrations spaced by 1
18. An educator has constructed a test for mechanical aptitude. He wants to determine how reliable the
test is over two administrations spaced by 1 month. A study is conducted in which 10 students are given
two administrations of the test, with the second administration being 1 month after the first. The data
are given in the following table.
Student Administration 1 Administration 2
1 10 10
2 12 15
3 20 17
4 25 25
5 27 32
6 35 37
7 43 40
8 40 38
9 32 30
10 47 49
a. Construct a scatter plot of the paired scores.
b. Determine the value of r.
c. Would it be fair to say that this is a reliable test?
Explain using r^2
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