n order to help the dean to see the effect of extensive use of social media on GPA, create a 95% confidence interval for the difference between the mean GPA of students who use and do not use social media extensively. Interpret this interval in context of the study above
DOES SOCIAL MEDIA AFFECT GRADES? –
The dean at a local university is concerned about what affects the GPAs of students. A study is done to
see if students who use social media extensively have lower GPAs than students who do not use social media extensively. Two random samples of students were taken from the university and the sample statistics are below:
|
Population |
|
Sample Mean |
Sample Standard Deviation |
|
Students use social media extensively |
n1= 135 |
1= 3.01 |
s1= 0.98 |
|
Students do not use social media extensively |
n2= 72 |
2= 3.89 |
s2= 0.38 |
In order to help the dean to see the effect of extensive use of social media on GPA, create a 95% confidence interval for the difference between the mean GPA of students who use and do not use social media extensively. Interpret this interval in context of the study above. (Hint: Does 0 lie in the interval? What does it mean?) Show calculator command and/or formula used to get answer in order to receive full credit. Use full sentences to interpret your results.
Part 4) WORD CLOUDS OR TEXT READING, WHICH IS FASTER? –
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 |
|
|
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 |
|
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