The National Endowment for the Humanities sponsors summer institutes to improve
ID: 3433516 • Letter: T
Question
The National Endowment for the Humanities sponsors summer institutes to improve the skills of high school teachers of foreign languages. One such institute designed a summer program for French language teachers and they wanted to test the success of the program before they implemented it in their permanent summer schedules. To determine the success of the program, they randomly divided 40 French teachers into two groups of 20. One group completed the new program in 4 weeks and the second group completed the existing old program during this time. At the end of the 4 weeks, the teachers in both programs were given the listening test of Modern Language Association for the understanding of spoken French. The test results are given in the following table. The maximum possible score on the test is 36.
Scores of the teachers from old program
Scores of the teachers from new program
19
27
28
26
31
25
24
19
23
22
28
35
32
19
30
27
25
31
19
34
20
28
25
28
23
19
32
36
30
23
29
27
27
33
21
32
24
29
24
26
Are these dependent or independent samples? Explain your answer.
Scores of the teachers from old program
Scores of the teachers from new program
19
27
28
26
31
25
24
19
23
22
28
35
32
19
30
27
25
31
19
34
20
28
25
28
23
19
32
36
30
23
29
27
27
33
21
32
24
29
24
26
Explanation / Answer
These are independent samples. Because the teachers are independent from each other. There are 2 groups of teachers and both groups have training in dufferent way without interfering in other group. So these samples are independent.
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