Question
Part 4) WORD CLOUDS OR TEXT READING, WHICH IS FASTER? - 6 pts Researchers conducted a study to see if viewing a word cloud results
Part 4) WORD CLOUDS OR TEXT READING, WHICH IS FASTER? - 6 pts
Researchers conducted a study to see if viewing a word cloud results in a faster conclusion (less time)
in determining if the document is worth reading in its entirety versus reviewing a text summary of the
document. Ten individuals were randomly sampled to participate in this study. Each individual
performed both tasks with a day separation in between to ensure the participants were not affected by
the previous task. The results in seconds are in the table below. Test the hypothesis that the word
cloud is faster than the text summary in determining if a document is worth readingat=.05. Assume
the sample of differences is from an approximately normal population.
Document | Time to do Text Scan | Time to view Word Cloud | Difference(Text Scan-Word Cloud) |
1 | 3.51 | 2.93 | |
2 | 2.90 | 3.05 | |
3 | 3.73 | 2.69 | |
4 | 2.59 | 1.95 | |
5 | 2.42 | 2.19 | |
6 | 5.41 | 3.60 | |
7 | 1.93 | 1.89 | |
8 | 2.37 | 2.01 | |
9 | 2.81 | 2.39 | |
10 | 2.67 | 2.75 |
- A. Is this a test for a difference in two population proportions or two population means?If two population means, are the samples dependent or independent?
B. What distribution is used to conduct this test?
C. Is this a left-tailed, right-tailed, or two-tailed test?
- State AND verify all assumptions required for this test.
[HINT: This test should have two assumptions to be verified.]
- State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis :
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