A paper on men's and women's eating behaviors describes an experiment in which 74 men were assigned at random to one of four treatments. viewed slides of fit, muscular men viewed slides of fit, muscular men accompanied by diet and fitness-related text viewed slides of fit, muscular men accompanied by text not related to diet and fitness did not view any slides The participants then went to a room to complete a questionnaire. In this room, bowls of pretzels were set out on the tables. A research assistant noted how many pretzels were consumed by each participant while completing the questionnaire. Data consistent with summary quantities given in the paper are given in the table. Treatment 1 Treatment 2 Treatment 3 Treatment 4 8 7 1 7 7 8 5 2 4 0 2 5 13 4 0 7 2 9 3 5 1 8 0 2 5 6 3 0 8 2 4 0 12 7 4 3 5 8 5 4 1 8 5 2 0 5 8 4 6 14 8 1 4 9 4 1 12 0 0 7 6 6 0 3 3 12 12 5 6 10 8 6 2 10 Do these data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.05. (Let ?1, ?2, ?3, and ?4 be the true mean number of pretzels consumed for the four different treatments.) State the appropriate null and alternative hypotheses. H0 : ?1 = ?2 = ?3 = ?4 Ha : all four of the ?i's are different H0 : all four of the ?i's are differentHa : ?1 = ?2 = ?3 = ?4 H0 : ?1 = ?2 = ?3 = ?4 Ha : at least two of the four ?i's are different H0 : at least two of the four ?i's are different Ha : ?1 = ?2 = ?3 = ?4 H0 : ?1 = ?2 = ?3 = ?4 Ha : at least three of the four ?i's are different Find the test statistic and P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= State the conclusion in the problem context. We reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We fail to reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We fail to reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
A paper on men's and women's eating behaviors describes an experiment in which 74 men were assigned at random to one of four treatments. viewed slides of fit, muscular men viewed slides of fit, muscular men accompanied by diet and fitness-related text viewed slides of fit, muscular men accompanied by text not related to diet and fitness did not view any slides The participants then went to a room to complete a questionnaire. In this room, bowls of pretzels were set out on the tables. A research assistant noted how many pretzels were consumed by each participant while completing the questionnaire. Data consistent with summary quantities given in the paper are given in the table. Treatment 1 Treatment 2 Treatment 3 Treatment 4 8 7 1 7 7 8 5 2 4 0 2 5 13 4 0 7 2 9 3 5 1 8 0 2 5 6 3 0 8 2 4 0 12 7 4 3 5 8 5 4 1 8 5 2 0 5 8 4 6 14 8 1 4 9 4 1 12 0 0 7 6 6 0 3 3 12 12 5 6 10 8 6 2 10 Do these data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.05. (Let ?1, ?2, ?3, and ?4 be the true mean number of pretzels consumed for the four different treatments.) State the appropriate null and alternative hypotheses. H0 : ?1 = ?2 = ?3 = ?4 Ha : all four of the ?i's are different H0 : all four of the ?i's are differentHa : ?1 = ?2 = ?3 = ?4 H0 : ?1 = ?2 = ?3 = ?4 Ha : at least two of the four ?i's are different H0 : at least two of the four ?i's are different Ha : ?1 = ?2 = ?3 = ?4 H0 : ?1 = ?2 = ?3 = ?4 Ha : at least three of the four ?i's are different Find the test statistic and P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= State the conclusion in the problem context. We reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We fail to reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We fail to reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. We reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
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
Topic Video
Question
1. A paper on men's and women's eating behaviors describes an experiment in which 74 men were assigned at random to one of four treatments.
- viewed slides of fit, muscular men
- viewed slides of fit, muscular men accompanied by diet and fitness-related text
- viewed slides of fit, muscular men accompanied by text not related to diet and fitness
- did not view any slides
The participants then went to a room to complete a questionnaire. In this room, bowls of pretzels were set out on the tables. A research assistant noted how many pretzels were consumed by each participant while completing the questionnaire. Data consistent with summary quantities given in the paper are given in the table.
Treatment 1 | Treatment 2 | Treatment 3 | Treatment 4 |
---|---|---|---|
8 | 7 | 1 | 7 |
7 | 8 | 5 | 2 |
4 | 0 | 2 | 5 |
13 | 4 | 0 | 7 |
2 | 9 | 3 | 5 |
1 | 8 | 0 | 2 |
5 | 6 | 3 | 0 |
8 | 2 | 4 | 0 |
12 | 7 | 4 | 3 |
5 | 8 | 5 | 4 |
1 | 8 | 5 | 2 |
0 | 5 | 8 | 4 |
6 | 14 | 8 | 1 |
4 | 9 | 4 | 1 |
12 | 0 | 0 | |
7 | 6 | 6 | |
0 | 3 | 3 | |
12 | 12 | ||
5 | |||
6 | |||
10 | |||
8 | |||
6 | |||
2 | |||
10 |
Do these data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.05. (Let ?1, ?2, ?3, and ?4 be the true mean number of pretzels consumed for the four different treatments.)
State the appropriate null and alternative hypotheses.
H0 : ?1 = ?2 = ?3 = ?4
Ha : all four of the ?i's are different
Ha : all four of the ?i's are different
H0 : all four of the ?i's are differentHa : ?1 = ?2 = ?3 = ?4
H0 : ?1 = ?2 = ?3 = ?4
Ha : at least two of the four ?i's are different
Ha : at least two of the four ?i's are different
H0 : at least two of the four ?i's are different
Ha : ?1 = ?2 = ?3 = ?4
H0 : ?1 = ?2 = ?3 = ?4
Ha : at least three of the four ?i's are different
Find the test statistic and P-value.
Round your test statistic to two decimal places and your P-value to three decimal places.)
F=
P-value=
State the conclusion in the problem context.
We reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
We fail to reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
We fail to reject H0. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
We reject H0. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
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 2 steps
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.Similar questions
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