Opinions about whether cafeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students test-taking abilities. You dhoose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a dfferent caffeine concentration, such thet there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later The students receive the following arithmetic test scores
Opinions about whether cafeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students test-taking abilities. You dhoose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a dfferent caffeine concentration, such thet there are seven students assigned to each drink. You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have them take an arithmetic test 15 minutes later The students receive the following arithmetic test scores
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
At the α = 0.01 level of significance, what is your conclusion?
You cannot reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.
You can reject the null hypothesis; caffeine does appear to affect test performance.
You cannot reject the null hypothesis; caffeine does appear to affect test performance.
You can reject the null hypothesis; you do not have enough evidence to say that caffeine affects test performance.

Transcribed Image Text:Safari
Edit
View History Bookmarks Window Help
イ令
File
A ng.cengage.com
* CENGAGE MINDTAP
losie v
Problem Set: Chapter 12 Introduction to Analysis of Variance
A My Home
7. Hypothesis testing with ANOVA
e Courses
Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on
O Catalog and Study Tools
students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly
assign each student to one of three drinks, each with a dfferent caffeine concentration, such that there are seven students assigned to each drink.
O Rental Options
You then give each of them a plain capsule containing the precise quantity of caffeine that would be consumed in their designated drink and have
them take an arithmetic test 15 minutes later.
F college Success Tips
The students receive the following arithmetic test scores:
= Career Sucess Tips
RECOMMENDED FOR YOU
Coffee
Espresso
Water
Caffeine Content (mg/ox)
13.4
51.3
78
92
83
EX- 142,493
88
87
83
G-1,723
72
80
76
N-21
Maintaining Social
k-3
72
89
79
Connections
64
96
86
81
83
79
82
92
81
Help
T.- 537
T,- 619
T.- S67
O Give Feedback
Ss, - 381.43 Ss, - 185.71
Ss,- 66
M, - 76.7143
M,- 81.0000
M.- 88.4286
You plan to use an ANOVA to test the impact of drinks with different caffeine contents on students' test-taking abties, What is the null hypotheis?
The population mean test scores for all three treatments are equal.
The population mean test scores for all three treatments are not all equal
The population mean test score for the water population is different from the population mean test score for the coffee population
The population mean test scores for all three treatments are different.
Calculate the degrees of freedom and the variances for the following ANOVA table:
Source
Ss
df
MS
25
...
MacBook Air
000
F9
F10
esc
a00 F4
F6
FB
F1
F2
F3
F5
F7
@
#
$
%
&
*
3
4
7
8
9.
* cO

Transcribed Image Text:Safari File Edit
View History
Bookmarks
Window Help
A ng.cengage.com
* CENGAGE MINDTAP
Problem Set: Chapter 12 Introduction to Analysis of Variance
Source
df
MS
Between
4.
Within
633.14
Total
1,124.95
The formula for the F-ratio is:
F- MSeween MS
Using words (chosen from the dropdown menu), the formula for the F-ratio can be written as:
F -
Using the data from the ANOVA table alven, the F-ratio can be written as
F-
Thus:
Use the Distributions tool to find the critical region for a0.01.
F Distribution
Numerator Degees of Freedom
26
Denominator Degrees of
Freedom 2
6
25
MacBook Air
14
F7
D00
esc
000 FA
F6
F8
F9
F1
F2
F3
F5
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images

Knowledge Booster
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.Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman