10. Research has sleep can have of complex ta & Bergstroem enon, a sampl a problem-sol at noon on the permitted any student, the di score was rec averaged M, a variance of a. Do the dat problem-s with a= b. Compute size of the

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10. Research has shown that losing even one night's
sleep can have a significant effect on performance
of complex tasks, such as problem solving (Linde
& Bergstroem, 1992). To demonstrate this phenom-
enon, a sample of n 25 college students was given
a problem-solving task at noon on one day and again
at noon on the following day. The students were not
permitted any sleep between the two tests. For cach
student, the difference between the first and second
score was recorded. For this sample, the students
averaged M,4.7 points better on the first test with
a variance of s 64 for the difference scores
a. Do the data indicate a significant change in
problem-solving ability? Use a rwo-cailed test
with a 05.
b. Compute an estimated Cohen's d to measure the
size of the effect
Transcribed Image Text:10. Research has shown that losing even one night's sleep can have a significant effect on performance of complex tasks, such as problem solving (Linde & Bergstroem, 1992). To demonstrate this phenom- enon, a sample of n 25 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For cach student, the difference between the first and second score was recorded. For this sample, the students averaged M,4.7 points better on the first test with a variance of s 64 for the difference scores a. Do the data indicate a significant change in problem-solving ability? Use a rwo-cailed test with a 05. b. Compute an estimated Cohen's d to measure the size of the effect
Expert Solution
Step 1

Given data :

sample size, n =25

sample mean, x̄ = 4.7

sample standard deviation,s= √64 = 8

population mean,μ= 0

Significance level, α= 0.05

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