correlation

Participant Sleep Time Reaction Time

1                   7                          0.08

2                 8.5                           0.08

3                  8                           0.09

4                  7                            0.17

5                6.5                             0.09

6                  5                             0.09

7                7.25                             0.09

8                  7                              0.08

9                  8.5                        0.06

10                   8                               0.06

11                    6.5                        0.2

12                    7                              0.15

13                     5                              0.089

14                   7.25                         0.1

15                  8.5                                 0.07

16                    7                                   0.09

17                  6.5                                      0.09

18                   5                                      0.07

19                7.25                                0.17

20                   7                                      0.1

1. Before computing the correlation, state the null hypothesis and alternative hypothesis in words (not formulas).
2. Based on the hypotheses you stated, explain whether the researcher should conduct a one-tailed or two-tailed test.
3. Identify the correlation coefficient (r) for this data set using SPSS and report it in your answer document.
4. State the degrees of freedom and explain how you calculated it by hand.
5. Identify the p value  and report it in your answer document.
6. Explain whether the researcher should retain or reject the null hypothesis.
7. Are the results statistically significant? Explain how you know.
8. Explain what the researcher can conclude about the relationship between amount of sleep and reaction times. Include a description of the direction (positive, negative, or no relationship) and strength (weak, moderate, or strong) of the relationship.