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In: Statistics and Probability

Problem 2 You are curious about whether you can enhance the ability to hear differences between...

Problem 2

You are curious about whether you can enhance the ability to hear differences between nonnative speech sounds when people learn a new language. You test your novel language training procedure on a group of 32 pariticipants using a pretest/posttest design. The pretest and the posttest measure performance as the number of correct trials out of 100. The data are shown on the right. Does the new language training procedure improve the perception of nonnative speech sounds?

Use the four-step hypothesis testing procedure described in class, formatted as in the sample assignment. In addition, calculate 1) the effect size and 2) confidence interval associated with the data. Show your work.

Number of correct items
Participant pretest   posttest   
1 50 64
2 38 51
3 50 64
4 48 53
5 41 41
6 35 40
7 51 66
8 41 42
9 31 41
10 45 47
11 35 40
12 21 27
13 21 25
14 45 46
15 35 40
16 48 53
17 31 42
18 31 34
19 31 38
20 45 47
21 45 43
22 30 29
23 48 53
24 31 29
25 28 49
26 40 62
27 31 34
28 48 53
29 50 64
30 38 51
31 15 35
32 18 46

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