Question

Use SPSS to determine if amount of sleep is related to reaction time.

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 using SPSS 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?

8. Explain how you know. Explain what the researcher can conclude about the relationship between amount of sleep and reaction times. Include a description of the direction and strength of the relationship.

Data Set:

Participant	Sleep Time	Reaction Time
1	6.75	0.22
2	8.25	0.25
3	6.5	0.27
4	7.75	0.25
5	5.25	0.24
6	8.25	0.28
7	7.25	0.24
8	5.25	0.3
9	6	0.25
10	6.25	0.21
11	6.5	0.28
12	7	0.23
13	6.5	0.29
14	7	0.25
15	8.25	0.29
16	7.25	0.28
17	6.75	0.23
18	6.25	0.29
19	7.75	0.25
20	7.25	0.29

Answer 1

NULL HYOPOTHESIS H0: AMOUNT OF SLEEP IS NOT RELATED TO REACTION TIME.

ALTERNATIVE HYPOTHESIS HA: AMOUNT OF SLEEP RELATED TO REACTION TIME.

b) Based on the hypotheses, the researcher should two-tailed test.

c) the correlation coefficient (r) for this data set using SPSS

r= 0.042

d) Degrees of freedom = n-2

where n is sample size

Degrees of freedom= 20-2= 18

e) The p value using SPSS is

P value= 0.860

f) Alpha= 0.05 (Assumed)

Since Pvalue is greater than 0.05 (Level of significance) hence not significant, therefore DO NOT REJECT THE NULL HYPOTHESIS H0.

g) No, the results are not statistically significant.

h) Since P value is not significant at 0.05 level of significance.the researcher can conclude about the relationship between amount of sleep and reaction times is that they are not co related.

r value =0.042 which is positive.