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
Section: Chapter Questions
Problem 13PT
icon
Related questions
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax