A research paper describes an experiment in which 74 men were assigned at random to one of four treatments. 1. viewed slides of fit, muscular men 2. viewed slides of fit, muscular men accompanied by diet and fitness-related text 3. viewed slides of fit, muscular men accompanied by text not related to diet and fitness 4. 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 following table. Treatment 1 Treatment 2 Treatment 3 9 6 4 13 1 2 5 9 12 5 2 0 7 4 10 6 0 11 7 8 0 3 9 8 7 1 6 8 8 5 13 9 0 7 4 11 5 7 10 8 7 1 10 2 5 1 0 3 0 3 4 4 5 5 6 8 4 0 7 3 Treatment 4 5 2 5 7 5 2 0 0 4 3 2 3 1 1 Do these data provide convincing evidence that the means for the numbers of pretzels consumed are not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.0 Calculate the test statistic. (Round your answer to two decimal places.) F= Use technology to find the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Fail to reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
A research paper describes an experiment in which 74 men were assigned at random to one of four treatments. 1. viewed slides of fit, muscular men 2. viewed slides of fit, muscular men accompanied by diet and fitness-related text 3. viewed slides of fit, muscular men accompanied by text not related to diet and fitness 4. 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 following table. Treatment 1 Treatment 2 Treatment 3 9 6 4 13 1 2 5 9 12 5 2 0 7 4 10 6 0 11 7 8 0 3 9 8 7 1 6 8 8 5 13 9 0 7 4 11 5 7 10 8 7 1 10 2 5 1 0 3 0 3 4 4 5 5 6 8 4 0 7 3 Treatment 4 5 2 5 7 5 2 0 0 4 3 2 3 1 1 Do these data provide convincing evidence that the means for the numbers of pretzels consumed are not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.0 Calculate the test statistic. (Round your answer to two decimal places.) F= Use technology to find the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Fail to reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments. O Reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
Transcribed Image Text:A research paper describes an experiment in which 74 men were assigned at random to one of four treatments.
1. viewed slides of fit, muscular men
2. viewed slides of fit, muscular men accompanied by diet and fitness-related text
3. viewed slides of fit, muscular men accompanied by text not related to diet and fitness
4. 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 following table.
Treatment 1
9
6
4
13
1
2
5
9
12
5
2
0
7
4
10
6
0
11
Treatment 2 Treatment 3
7
8
0
3
9
8
7
1
6
8
8
5
13
9
0
7
4
11
5
7
10
8
7
1
10
2
5
1
0
3
0
3
4
4
5
5
6
8
4
0
7
3
Treatment 4
5
2
5
7
5
2
0
0
4
3
2
3
1
1
Do these data provide convincing evidence that the means for the numbers of pretzels consumed are not the same for all four treatments? Test the relevant hypotheses using a significance level of 0.05.
Calculate the test statistic. (Round your answer to two decimal places.)
F =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
What can you conclude?
O Fail to reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
O Reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
O Fail to reject Ho. The data provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
O Reject Ho. The data do not provide convincing evidence that the mean number of pretzels consumed is not the same for all four treatments.
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