In: Statistics and Probability
2. A researcher is interested in how time spent on social media is related to self-esteem. He has participants how much time they spend on social media per day and has them take a self-esteem scale (on an 11 point scale). The data is as follows:
| participants | hours per day on social media | self-esteem score |
|---|---|---|
| A | 7 | 4 |
| B | 4 | 7 |
| C | 8 | 9 |
| D | 3 | 10 |
| E | 6 | 8 |
| F | 2 | 11 |
| G | 3 | 10 |
| H | 5 | 5 |
b. What are the null and research hypotheses?
c. What is the mean of X?
What is the mean of Y?
Find the deviances for both groups. (X – My) and (Y – My)
Multiply the deviances like in the lecture
Sum these.
What number do you get? ___________________________
This is the numerator
Square the deviances in X and Y
What is the Sum of Squares of X?
What is the Sum of Squares of Y?
What do you get when you multiply SSx and SSy?
_______________________________
Take the square root of that ____________________________
This is your denominator
d. What is r? ______________________
e. What is the critical value?
___________________________________
f. What is your decision? _____________________________