In an experiment to test a memory supplement, 200 subjects were assigned randomly to take the supplement or a placebo (100 in each group). The memory score of each group was then measured. Can you support the claim that there is a difference in the mean memory scores between the supplement and placebo groups? Conduct the test with a significance level of 10%. Results and p-values many test runs are shown below. Supplement Placebo 5.23 sample mean sample std dev sample size 6.61 5.03 4.10 100 100 Reported p-values two tail left tail right tail F-test for variances 0.033 pooled variance t-test 0.032 0.984 0.016 unequal variance t-test matched pairs t-test 0.038 0.981 0.019 0.048 0.976 0.024

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Question

R1

In an experiment to test a memory supplement, 200 subjects were
assigned randomly to take the supplement or a placebo (100 in each
group). The memory score of each group was then measured. Can you
support the claim that there is a difference in the mean memory
scores between the supplement and placebo groups? Conduct the
test with a significance level of 10%.
Results and p-values many test runs are shown below.
Supplement Placebo
sample mean
6.61
5.23
sample std dev
sample size
5.03
4.10
100
100
Reported p-values
left tail
right tail
two tail
F-test for variances
0.033
0.016
pooled variance t-test
unequal variance t-test
matched pairs t-test
0.032
0.984
0.038
0.981
0.019
0.048
0.976
0.024
Transcribed Image Text:In an experiment to test a memory supplement, 200 subjects were assigned randomly to take the supplement or a placebo (100 in each group). The memory score of each group was then measured. Can you support the claim that there is a difference in the mean memory scores between the supplement and placebo groups? Conduct the test with a significance level of 10%. Results and p-values many test runs are shown below. Supplement Placebo sample mean 6.61 5.23 sample std dev sample size 5.03 4.10 100 100 Reported p-values left tail right tail two tail F-test for variances 0.033 0.016 pooled variance t-test unequal variance t-test matched pairs t-test 0.032 0.984 0.038 0.981 0.019 0.048 0.976 0.024
Conclusion: Select all valid conclusions (more that one could be valid)
O There is insufficient evidence to conclude that there is a significant
difference in mean memory scores between the supplement and placebo
groups.
O This supplement improved memory scores because it contained a hormone
that stimulated brain function.
There is insufficient evidence to conclude that there is no significant
difference in mean memory scores between the supplement and placebo
groups.
O There is no significant difference in mean memory scores between the
supplement and placebo groups.
O The mean memory score for the supplement group is higher than the mean
for the placebo group.
O There is a significant difference in mean memory scores between the
supplement and placebo groups.
Transcribed Image Text:Conclusion: Select all valid conclusions (more that one could be valid) O There is insufficient evidence to conclude that there is a significant difference in mean memory scores between the supplement and placebo groups. O This supplement improved memory scores because it contained a hormone that stimulated brain function. There is insufficient evidence to conclude that there is no significant difference in mean memory scores between the supplement and placebo groups. O There is no significant difference in mean memory scores between the supplement and placebo groups. O The mean memory score for the supplement group is higher than the mean for the placebo group. O There is a significant difference in mean memory scores between the supplement and placebo groups.
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