Question
ACTIVITY Subject: t- Tests Imagine you are a researcher who is interested in studying whether sleep deprivation leads to increased reaction times (i.e., being slower)
ACTIVITY
Subject: t-Tests
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 3 consecutive nights. The other 15 participants are randomly assigned to get 8 hours of sleep for 3 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.
Part 1- Enter the following dataset into SPSS, then conduct the appropriatet-test to answer the questions and determine if sleep time is related to reaction time. Be sure to fully explain the rationale for your answer to each question.
DATA PROVIDED:
Reaction times in seconds for participants with 5 hours of sleep
0.28
0.27
0.29
0.25
0.26
0.28
0.23
0.3
0.26
0.21
0.32
0.25
0.29
0.28
0.31
Reaction times in seconds for participants with 8 hours of sleep
0.2
0.24
0.21
0.24
0.28
0.23
0.25
0.28
0.23
0.24
0.23
0.25
0.25
0.27
0.26
PART 2- Questions. Be sure to fully explain the rationale for your answer to each question.
- The researcher would compute a two-samplet-test to answer the research question. Explain why he or she cannot use a one-samplet-test.
- Decide whether the researcher should use an independent-samplest-test or a related-samplest-test for this scenario. Provide a rationale for your decision.
- Identify the independent variable and dependent variable.
- 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).
- Explain whether the researcher should use a one-tailed test or two-tailed test and why.
- Identify the obtainedt valuefor this dataset using SPSS and report it in your answer document.
- State the degrees of freedom and explain how you calculated it by hand.
- Identify thepvalue using SPSS and report it in your answer document.
- Explain whether the researcher should retain or reject the null hypothesis. Provide a rationale for your decision. Are the results statistically significant?
- Explain what the researcher can conclude about the relationship between amount of sleep and reaction times.
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