I have set up the questions and have answered some not all, this is correct, please follow my template and answer all questions, thank you
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 reading at α=.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 L1-L2=L3
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 1. 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? Dependent
B. What distribution is used to conduct this test? T test
C. Is this a left-tailed, right-tailed, or two-tailed test? One tailed test
2. State AND verify all assumptions required for this test. Dependent samples, test of two means
[HINT: This test should have two assumptions to be verified.]
3. State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis : H0: ud=0
Alternate hypothesis : H1: ud>0
4. Run the correct hypothesis test and provide the information below. Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places). T test, differenced data L3
Test Statistic:
Critical value [HINT: this is NOT α] :
Degrees of freedom:
p-value : 0
5. State your statistical decision (Justify it using the p-value or critical value methods!) and interpret your decision within the context of the problem. What is your conclusion?