A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. Shorts Dress Jeans Skirt 2.7 3.6 2.5 2 2.5 2.9 2.1 2.4 4 3.9 2.1 3.5 1.9 3.8 2.7 2.7 3.2 3.5 3.4 3.1 3.7 3.1 3.4 2.2 3.4 2.9 2.5 2.9 3.9 2.7 2.9 2.4 1.9 3.5 2.7 1.8 Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05. H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4 H1:H1: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is αα Base on this, we should hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.
A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey. Shorts Dress Jeans Skirt 2.7 3.6 2.5 2 2.5 2.9 2.1 2.4 4 3.9 2.1 3.5 1.9 3.8 2.7 2.7 3.2 3.5 3.4 3.1 3.7 3.1 3.4 2.2 3.4 2.9 2.5 2.9 3.9 2.7 2.9 2.4 1.9 3.5 2.7 1.8 Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05. H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4 H1:H1: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is αα Base on this, we should hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Topic Video
Question
A researcher wants to know if the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey.
| Shorts | Dress | Jeans | Skirt |
|---|---|---|---|
| 2.7 | 3.6 | 2.5 | 2 |
| 2.5 | 2.9 | 2.1 | 2.4 |
| 4 | 3.9 | 2.1 | 3.5 |
| 1.9 | 3.8 | 2.7 | 2.7 |
| 3.2 | 3.5 | 3.4 | 3.1 |
| 3.7 | 3.1 | 3.4 | 2.2 |
| 3.4 | 2.9 | 2.5 | 2.9 |
| 3.9 | 2.7 | 2.9 | 2.4 |
| 1.9 | 3.5 | 2.7 | 1.8 |
Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05.
H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4
H1:H1: At least two of the means differ from each other.
- For this study, we should use
- The test-statistic for this data = (Please show your answer to 3 decimal places.)
- The p-value for this sample = (Please show your answer to 4 decimal places.)
- The p-value is αα
- Base on this, we should hypothesis
- As such, the final conclusion is that...
- There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.
- There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.
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 4 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.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL