22. Because one of the brands of MP3 players (Brand B) is known to be the most popular among customers, it was decided before the data were gathered to compare this brand against the other three to see if it had a longer battery life. What would be appropriate null and alternative hypotheses to establish to do such a test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
Hi I know that you can’t answer all questions. Can you just answer question 22 please.
Answer:
20.
To test the ANOVA null hypothesis Ho: A-4:- 2- 4,, what are the test
statistic and its associated P-value?
F(3, 50) = 3.28; 0.01 <P<0.025
F(3, 50) = 2.91; 0.02 <P<0.05
A)
B)
C)
F(4, 49) = 3.28; 0.01 <P<0.025
D)
F(3, 50) = 3.28; 0.025 <P<0.05
E)
F(4, 50) = 2.91; 0.025 <P< 0.05
Answer:
Bonus Points
21.
What conclusion might you reach based on these analyses?
A)
There is no evidence to suggest that the null hypothesis should be rejected.
B)
There is evidence to support the conclusion that all the population means are
different.
C)
There is sufficient evidence to conclude that the sample means are not equal.
There is sufficient evidence to conclude that not all the population means are
equal.
It would be dangerous to conclude anything because the sample sizes are small
and some of the ANOVA assumptions are not satisfied.
D)
E)
Answer:
Because one of the brands of MP3 players (Brand B) is known to be the most
popular among customers, it was decided before the data were gathered to
compare this brand against the other three to see if it had a longer battery life.
What would be appropriate null and alternative hypotheses to establish to do
22.
such a test?
A)
Ha: H, > (4, -Hc = Hp)
В)
Ho: 3, + Hc + H) = µ,
Но: 3
(H, + He + Hp) < H,
На: 3
Ho: 4.-H - µc - Hp
C)
Ha: Ha> Hi H > Hei H > Hp
1
(H, + Hc + Hp) -",
Но: 4
3
D)
4
3
(u, +H + H,) <
На: 4
Ho: all of the means are equal.
E)
Ha: all the other means are different from ".
Answer:
23. Let contrast y = 3µB - HA - Hc - Hp. What is the sample
contrast C i.e. the estimate of the contrast w?
A)
-22.03
C)
6.31
11.67
B)
Answer:
-16.85
D)
24. What is SE, i.e. the value of the standard eror of the contrast y ?
A)
3.01
C)
9.05
B)
2.74
D)
0.92
Answer:
25. What is a 95% confidence interval for the contrast y ?
A)
(-13.619, 26.239)
B)
(0.263, 12.357)
C)
(0.805, 11.814)
D)
(5.623, 17.717)
Transcribed Image Text:Answer: 20. To test the ANOVA null hypothesis Ho: A-4:- 2- 4,, what are the test statistic and its associated P-value? F(3, 50) = 3.28; 0.01 <P<0.025 F(3, 50) = 2.91; 0.02 <P<0.05 A) B) C) F(4, 49) = 3.28; 0.01 <P<0.025 D) F(3, 50) = 3.28; 0.025 <P<0.05 E) F(4, 50) = 2.91; 0.025 <P< 0.05 Answer: Bonus Points 21. What conclusion might you reach based on these analyses? A) There is no evidence to suggest that the null hypothesis should be rejected. B) There is evidence to support the conclusion that all the population means are different. C) There is sufficient evidence to conclude that the sample means are not equal. There is sufficient evidence to conclude that not all the population means are equal. It would be dangerous to conclude anything because the sample sizes are small and some of the ANOVA assumptions are not satisfied. D) E) Answer: Because one of the brands of MP3 players (Brand B) is known to be the most popular among customers, it was decided before the data were gathered to compare this brand against the other three to see if it had a longer battery life. What would be appropriate null and alternative hypotheses to establish to do 22. such a test? A) Ha: H, > (4, -Hc = Hp) В) Ho: 3, + Hc + H) = µ, Но: 3 (H, + He + Hp) < H, На: 3 Ho: 4.-H - µc - Hp C) Ha: Ha> Hi H > Hei H > Hp 1 (H, + Hc + Hp) -", Но: 4 3 D) 4 3 (u, +H + H,) < На: 4 Ho: all of the means are equal. E) Ha: all the other means are different from ". Answer: 23. Let contrast y = 3µB - HA - Hc - Hp. What is the sample contrast C i.e. the estimate of the contrast w? A) -22.03 C) 6.31 11.67 B) Answer: -16.85 D) 24. What is SE, i.e. the value of the standard eror of the contrast y ? A) 3.01 C) 9.05 B) 2.74 D) 0.92 Answer: 25. What is a 95% confidence interval for the contrast y ? A) (-13.619, 26.239) B) (0.263, 12.357) C) (0.805, 11.814) D) (5.623, 17.717)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman