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

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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.
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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 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
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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
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
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