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. Jeans Dress Skirt Shorts 3.3 2.4 3.3 2.8 3.6 3.5 3.9 3.6 3.9 3.6 2.4 1.9 2.3 3.1 1.8 3.5 2.9 3.4 3 2.1 3.4 3 4 3.3 3.1 2.4 3.5 3.1 3.3 2.7 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 a = 0.05. Ho: µi = µ2 = µ3 = H4 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer O 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer 8 hypothesis

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
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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.
Jeans
Dress
Skirt
Shorts
3.3
2.4
3.3
2.8
3.6
3.5
3.9
3.6
3.9
3.6
2.4
1.9
2.3
3.1
1.8
3.5
2.9
3.4
3
2.1
3
3.4
3
4
3.3
3.1
2.4
3.5
3.1
3.3
2.7
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 a = 0.05.
Ho: µi = µ2 = µ3 = H4
H1: At least two of the means differ from each other.
1. For this study, we should use
Select an answer O
2. The test-statistic for this data =
(Please show your answer to 3 decimal places.)
3. The p-value for this sample =
(Please show your answer to 4 decimal places.)
4. The p-value is Select an answer
5. Base on this, we should Select an answer
O hypothesis
6. As such, the final conclusion is that...
O There is insufficient evidence to support the claim that the clothes a woman wears is a factor in
GPA.
O There is sufficient evidence to support the claim that the clothes a woman wears is a factor in
GPA.
23.
6939
Transcribed Image Text: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. Jeans Dress Skirt Shorts 3.3 2.4 3.3 2.8 3.6 3.5 3.9 3.6 3.9 3.6 2.4 1.9 2.3 3.1 1.8 3.5 2.9 3.4 3 2.1 3 3.4 3 4 3.3 3.1 2.4 3.5 3.1 3.3 2.7 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 a = 0.05. Ho: µi = µ2 = µ3 = H4 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer O 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer O hypothesis 6. As such, the final conclusion is that... O There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. O There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. 23. 6939
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