In: Statistics and Probability
Does watching the Dodgers increase stress levels? A researcher wanted to know! He had participants rate their stress on an 11 point scale before Game 7 of that horrible 2017 World Series. He then had the participants rate their stress during the game. The data is as follows:
Stress before that horrible game | Stress during that horrible game |
---|---|
2 | 11 |
3 | 10 |
1 | 9 |
4 | 11 |
2 | 8 |
5 | 10 |
1 | 5 |
a. Identify the two groups:
b. State the null and research hypothesis:
c. Figure out the numbers you need:
What is N (the total number of DIFFERENCE SCORES)?
The population mean is always 0
What is the Mean Difference (the Sample mean)?
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Now, what is the sum of squares? (X – M)2
____________________________
What is the degrees of freedom? (N-1) _________
What is the variance? (X – M)2 / (N-1)
_________________________
What is the standard deviation? s = (X – M)2 /
(N-1)____________________
What is the standard error? sM = s/ (hint: use the standard
deviation you just found) __________
Now, you have everything you need for
d. calculate the t-statistic (t = (M – μ)/sM)
__________________________
e. What is the critical value? Use the value you got from N-1, and
look for the number that is under .05
___________________________
f. What decision do you make here?
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