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Reaction times in seconds for participants with 5 hours of sleep

0.21

0.24

0.29

0.29

0.2

0.28

0.2

0.3

0.28

0.24

0.3

0.23

0.29

0.28

0.29

Reaction times in seconds for participants with 8 hours of sleep

0.23

0.21

0.23

0.24

0.28

0.23

0.22

0.29

0.23

0.22

0.24

0.25

0.29

0.22

0.26

Above is the data for the first assignment

The Scenario for the first assignment;

: Imagine you are a researcher who is interested in studying whether sleep deprivation leads to increased reaction times (i.e., being slower) when driving. You randomly select a sample of 30 licensed drivers. Fifteen participants are randomly assigned to get 5 hours of sleep for three consecutive nights. The other 15 participants are randomly assigned to get 8 hours of sleep for three consecutive nights. For the purposes of this Assignment, assume that all participants sleep exactly the required amounts. After the third night, all participants take a driving simulation test that measures their reaction times.

The questions for assignment one:

1. Explain whether the researcher should use an independent-samples t-test or a related-samples t-test for this scenario. Provide a rationale for your decision.

2. Identify the independent variable and dependent variable.

3. Knowing the researcher believes that people who sleep less will have slower reaction times, state the null hypothesis and alternate hypothesis in words (not formulas).

4. Explain whether the researcher should use a one-tailed test or two-tailed test and why.

5. Identify the obtained t value for this data set using SPSS and report it in your answer document.

6. State the degrees of freedom and explain how you calculated it by hand.

7. Identify the p value using SPSS and report it in your answer document.

8. Explain whether the researcher should retain or reject the null hypothesis. Provide a rationale for your decision. Are the results statistically significant?

9. Explain what the researcher can conclude about the relationship between amount of sleep and reaction times.

Be sure to fully explain the rationale for your answer to each question

Weekly data forum for part of my assignment:

Participant Sleep Time Reaction Time

1 6 0.23

2 8.5 0.21

3 6.5 0.23

4 7 0.24

5 6 0.3

6 7 0.23

7 8.5 0.22

8 7.25 0.23

9 6.75 0.29

10 6.25 0.31

11 6.25 0.29

12 7 0.25

13 6.75 0.29

14 8 0.22

15 7.75 0.21

16 7.25 0.28

17 6.75 0.23

18 6.25 0.3

19 7.75 0.22

20 7.25 0.21

Info on part two assignment:

Recall the researcher who investigated the relationship between hours of sleep and reaction times in the Week 4 Application. As a follow up to that study, the researcher wants to conduct a correlation to investigate further if there is a relationship between hours of sleep and reaction time. For this experiment, participants are allowed to sleep as much as they would like (that is, they are not assigned to sleep any specific number of hours). When 20 participants come to their appointment time, they report to the researcher how many hours of sleep they had the previous night. The researcher then tests their reaction times.

The questions for part two assignment:

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? 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 and strength of the relationship.

Be sure to fully explain the rationale for your answer to each question