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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 each 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 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.

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 each 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 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 each 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 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.
Transcribed Image Text: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 each 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 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.
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