# Research has shown that losing even one night’s sleep can have a significant effect on performance of …

3. A researcher conducts an independent measures research study and obtains t = 2.070 with df = 28.
a. How many individuals participated in the entire research study?
b. Use a two-tailed test with α = .05, is there a significant difference between the two treatment conditions?
Compute r2 to measure the percentage of variance accounted for by the treatment effect.
Please, show all calculations and explanations. Thank you

5. Research has shown that losing even one night’s sleep can have a significant effect on performance of complex tasks such as problem solving. To demonstrate this phenomenon, a sample of n=25 college students was given a problem solving task at noon on one day and again at noon the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the first and second score was recorded. For this sample, the students average MD = 4.7 points better on the first test with a variance of S2 = 64 for the difference scores.
a. Do the data indicate a significant change in problem-solving ability? Use a two tailed test with α =.05.
b. Compute an estimated Cohen’s d to measure the size of the effect.

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