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Researchers at a prominent university were interested in whether their university's study abroad program increases students' cultural competence (i.e., their ability to work effectively with

Researchers at a prominent university were interested in whether their university's study abroad program increases students' cultural competence (i.e., their ability to work effectively with different cultures). Measuring cultural competence with a test called the Cultural Competence Survey, researchers compared the scores of a group of students who spent the semester abroad, with a group of students who took the equivalent coursework on campus. Assume that the Cultural Competence Survey has demonstrated validity and reliability as a measure of cultural competence. Below are the scores for the two groups.

The hypothesized mean difference is 0. This is the null hypothesis.

The level of significance is .05 (alpha level) and a two-tailed hypothesis.

Study Abroad Group On-campus Group
87 82
79 80
69 64
83 52
57 71
90 37
67 49
54 61
61 82
92 79
63 68
58 55
72 49
81 86
73 73
66 69
87 61
90 72
91 52
82 49
49 61
69 47
58 51
77 60
71 72
93 39
75 42
64 49
81 59
83 67

QUESTIONS:

  1. Why would we use an independent samples t test for this research?
  2. What is the calculated value of the test statistic (t)?
  3. What is the associated p-value?
  4. Is the difference between the two groups statistically significant?
  5. What can you conclude?
  6. Are there any design flaws in the study that may bring the results into question? Explain.

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