18. Researchers have noted a decline in cognitive func- tioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxi- dants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxi- dants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The 16 adults who are researcher obtains a sample of n older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxi- dants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills 50.2. For the test and produce a mean score of M %3D general population of elderly adults, scores on the test 45 and form a normal distribution with average u %3D a. Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed test with a = .05. %3D b. Compute Cohen's d for this study. c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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18. Researchers have noted a decline in cognitive func-
tioning as people age (Bartus, 1990). However, the
results from other research suggest that the antioxi-
dants in foods such as blueberries can reduce and
even reverse these age-related declines, at least in
laboratory rats (Joseph et al., 1999). Based on these
results, one might theorize that the same antioxi-
dants might also benefit elderly humans. Suppose
a researcher is interested in testing this theory. The
16 adults who are
researcher obtains a sample of n
older than 65, and gives each participant a daily dose
of a blueberry supplement that is very high in antioxi-
dants. After taking the supplement for 6 months, the
participants are given a standardized cognitive skills
50.2. For the
test and produce a mean score of M
%3D
general population of elderly adults, scores on the test
45 and form a normal distribution with
average u
%3D
a. Can the researcher conclude that the supplement
has a significant effect on cognitive skill? Use a
two-tailed test with a = .05.
%3D
b. Compute Cohen's d for this study.
c. Write a sentence demonstrating how the outcome
of the hypothesis test and the measure of effect
size would appear in a research report.
Transcribed Image Text:18. Researchers have noted a decline in cognitive func- tioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxi- dants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxi- dants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The 16 adults who are researcher obtains a sample of n older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxi- dants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills 50.2. For the test and produce a mean score of M %3D general population of elderly adults, scores on the test 45 and form a normal distribution with average u %3D a. Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed test with a = .05. %3D b. Compute Cohen's d for this study. c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.
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