Research has shown that losing even one night of sleep can have a significant effect on performance of complex tasks such as problem solving (Linde & Bergstroem, 1992). To demonstrate this phenomenon, a researcher conducted the following (simulated) experiment: A sample of r = 18 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 Mp = 4.7 points better on the first test with a standard deviation of SDa = 8.3 for the difference scores. Conduct an analysis with this data using a = 0.02. (Put in 1 - alpha for the C-Level in your calculator.) Give the 98% confidence interval for the average difference score:

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Research has shown that losing even one night of sleep can have a significant effect on performance of
complex tasks such as problem solving (Linde & Bergstroem, 1992). To demonstrate this phenomenon, a
researcher conducted the following (simulated) experiment: A sample of n = 18 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 Mp = 4.7 points better on the first
test with a standard deviation of SDa = 8.3 for the difference scores.
Conduct an analysis with this data using a = 0.02. (Put in 1 - alpha for the C-Level in your calculator.)
Give the 98% confidence interval for the average difference score:
< Hd <
Transcribed Image Text:Research has shown that losing even one night of sleep can have a significant effect on performance of complex tasks such as problem solving (Linde & Bergstroem, 1992). To demonstrate this phenomenon, a researcher conducted the following (simulated) experiment: A sample of n = 18 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 Mp = 4.7 points better on the first test with a standard deviation of SDa = 8.3 for the difference scores. Conduct an analysis with this data using a = 0.02. (Put in 1 - alpha for the C-Level in your calculator.) Give the 98% confidence interval for the average difference score: < Hd <
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