A PSYC2010 lecturer asked ten students how useful they believe statistics are at the start of the semester (before taking PSYC2010) and then again at the end of the semester (after taking PSYC2010). The rating scale ranged from 1 (not useful) to 10 (extremely useful). The data, which were skewed, are provided below: Student Before PSYC2010 After PSYC2010 1 8 7 2 9 5 3 6 6 4 7 4 5 6 8 6 10 5 7 6 4 8 7 4 9 7 6 10 5 7 What is the value for T obtained? A) 9 B) 45 C) 8 D) 37 What is the T critical value? A) 11 B) 5 C) 8 D) 6 What was the N used to determine the critical value? A) 9 B) 10 C) 18 D) 20 What is the statistical decision? A) T obtained > T critical, therefore reject H0 B) T obtained > T critical, therefore retain H0 C) T obtained < T critical, therefore retain H0 D) T obtained = T critical, therefore reject H0 What is the interpretation? A) A Wilcoxon’s signed-rank test found a significant difference in perceived usefulness of statistics before and after taking PSYC2010, such that students perceived statistics to be more useful after taking PSYC2010 compared to before. B) A Wilcoxon’s signed-rank test found no significant difference in perceived usefulness of statistics before and after taking PSYC2010. C) A Wilcoxon’s signed-rank test found a significant difference in perceived usefulness of statistics before and after taking PSYC2010, such that students perceived statistics to be more useful after taking PSYC2010 compared to before. D) Cannot tell from the data provided. If the data were normally distributed, what would be an appropriate test to use in this example? A) Repeated measures t-test B) Independent groups t-test C) Single-sample t-test D) Chi-square goodness of fit test
A PSYC2010 lecturer asked ten students how useful they believe statistics are at the start of the semester (before taking PSYC2010) and then again at the end of the semester (after taking PSYC2010). The rating scale
Student |
Before PSYC2010 |
After PSYC2010 |
1 |
8 |
7 |
2 |
9 |
5 |
3 |
6 |
6 |
4 |
7 |
4 |
5 |
6 |
8 |
6 |
10 |
5 |
7 |
6 |
4 |
8 |
7 |
4 |
9 |
7 |
6 |
10 |
5 |
7 |
What is the value for T obtained?
A) 9
B) 45
C) 8
D) 37
What is the T critical value?
A) 11
B) 5
C) 8
D) 6
What was the N used to determine the critical value?
A) 9
B) 10
C) 18
D) 20
What is the statistical decision?
A) T obtained > T critical, therefore reject H0
B) T obtained > T critical, therefore retain H0
C) T obtained < T critical, therefore retain H0
D) T obtained = T critical, therefore reject H0
What is the interpretation?
A) A Wilcoxon’s signed-rank test found a significant difference in perceived usefulness of statistics before and after taking PSYC2010, such that students perceived statistics to be more useful after taking PSYC2010 compared to before.
B) A Wilcoxon’s signed-rank test found no significant difference in perceived usefulness of statistics before and after taking PSYC2010.
C) A Wilcoxon’s signed-rank test found a significant difference in perceived usefulness of statistics before and after taking PSYC2010, such that students perceived statistics to be more useful after taking PSYC2010 compared to before.
D) Cannot tell from the data provided.
If the data were
A) Repeated measures t-test
B) Independent groups t-test
C) Single-sample t-test
D) Chi-square goodness of fit test
Given information:
Student | Before PSYC2010 | After PSYC2010 |
1 | 8 | 7 |
2 | 9 | 5 |
3 | 6 | 6 |
4 | 7 | 4 |
5 | 6 | 8 |
6 | 10 | 5 |
7 | 6 | 4 |
8 | 7 | 4 |
9 | 7 | 6 |
10 | 5 | 7 |
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