Class Study 3
Does the number of months a person lives in a particular speech community (Bavaria) make a difference on the person's acquisition of the language
spoken in that speech community? To answer to this question,
a researcher employs the SCHMARN test of Bavarian. The researcher tests 30 subjects
who moved to Bavaria and also determines how many MONTHS each subject had
been in Bavaria. The researcher lists these scores for a
Pearson r correlation.
Data file: corstudy3.sav
Variables: MONTHS, SCHMARN
SUBJECT
MONTHS
SCHMARN
1
10
1077
2
75
1773
3
12
1176
4
5
340
5
20
1076
6
7
954
7
32
1384
8
81
1714
9
60
1793
10 61
1909
11 38
1229
12 14
1386
13 16
1309
14 42
1376
15 48
1050
16 21
1001
17 30
1294
18
51
1329
19
72
1829
20
88
1966
21 39
1280
22
17
1118
23 77
1877
24
54
1553
25 44
1284
26 52
1642
27 55
1089
28
40
1283
29 43
1047
30
1
343
Answer the following questions:
- What kinds of data do the two variables represent? Which variable
is the dependent measure and which is the independent measure?
-
Do the data meet the required assumptions of the Pearson r? If Pearson
r is not appropriate, which statistic would you suggest?
- Is this problem one-tailed or two-tailed? Explain.
- For whatever statistic is legitimate, calculate and write the result
below.
- Is this result significant; and, if so, what is the probability that
it occurred by accident?
- If a subject had lived in Bavaria for 31 months, what would
be the estimated score on the SCHMARN test?
- The match-up
between the SCHMARN test and the length of residence in Bavaria accounts for how
much of the data's variability?
- Would you conclude from this statistic that living longer in Bavaria causes higher proficiency in Bavarian? Why or why not?
- Look over the study again and consider your own confidence in the
study. Do you find the results convincing? Why or why not?