3. On page 9 of chapter 8 notes, you are asked to finish some parts of a full 5-step hypothesis test. What are the degrees of freedom for this problem? O о O O 59 34 35 36 58
3. On page 9 of chapter 8 notes, you are asked to finish some parts of a full 5-step hypothesis test. What are the degrees of freedom for this problem? O о O O 59 34 35 36 58
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
Question is in reference to the notes attached. Help appreciated, thanks
Transcribed Image Text:3. On page 9 of chapter 8 notes, you are asked to finish some parts
of a full 5-step hypothesis test. What are the degrees of freedom
for this problem?
O
о
O
O
59
34
35
36
58
Transcribed Image Text:Step 1: The claim that "blue enhances performance on a creative task" can be
restated as "people with a blue background (group 2) have a higher mean creativity
score than those in the group with a red background (group 1)". This can be
expressed as µ₁ < µ2. Since both sample sizes are above n = 30, so normality is met.
Step 2: The hypotheses can be written as:
Step 3: Because we have two independent samples and we are testing a claim about
two population means, we use a t distribution.
Step 3: continued, Calculate the test statistic
(x₂-x₂)(14₂₁-14₂)
| $²__ $²2²
+
t =
df =
Vn₂ m₂
m
H₁:1₁ = 4₂
0
H₁:1₁<H₂
Step 4: The p-value =
(3.39-3.97)-0
0.97² 0.63²
35
36
+
= -2.979
(This p-value is also equal to the ar to the left of the test statistic of t= -2.979.)
Since this is less than the significance level of 0.01, we reject the null hypothesis.
Step 5: There is sufficient evidence to support the claim that the red background
group has a lower mean creativity score than the blue background group.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
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