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 2.3 1.8 4 4 4 2.4 2.7 2.3 2.6 Dress Jeans Skirt 3.1 3.9 1.9 4 3.1 3.8 2.5 2.7 3.5 2.6 3.5 2.8 1.9 3.1 2.7 3.6 Imm 1. For this study, we should use [ANOVA 2. The test-statistic for this data = 3.6 4 los 3.1 2.3 2.4 ja 3.9 4 2.6 Ho : μι = μ2 = 13 = με H₁: At least two of the means differ from each other. V NNWNN 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. ∞07 3. The p-value for this sample= 4. The p-value is less than (or equal to) alpha 5. Base on this, we should reject the null hypothesis 2.8 2.7 (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) a ✓hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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.
Shorts
2.3
1.8
4
4
2.4
2.7
2.3
2.6
Dress Jeans Skirt
3.1
3.9
3.6
4
4
3.8
3.1
2.7
2.3
2.6
2.4
2.8
3.9
3.1
4
2.8
2.6
2.7
Ho : μι = μ2 = 13 = με
H₁: At least two of the means differ from each other.
1. For this study, we should use [ANOVA
2. The test-statistic for this data =
1.9
3.1
2.5
3.5
3.5
1.9
2.7
Na
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.
3.6
3. The p-value for this sample=
(Please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
4. The p-value is less than (or equal to) alpha a
5. Base on this, we should reject the null hypothesis
✓hypothesis
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. Shorts 2.3 1.8 4 4 2.4 2.7 2.3 2.6 Dress Jeans Skirt 3.1 3.9 3.6 4 4 3.8 3.1 2.7 2.3 2.6 2.4 2.8 3.9 3.1 4 2.8 2.6 2.7 Ho : μι = μ2 = 13 = με H₁: At least two of the means differ from each other. 1. For this study, we should use [ANOVA 2. The test-statistic for this data = 1.9 3.1 2.5 3.5 3.5 1.9 2.7 Na 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. 3.6 3. The p-value for this sample= (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) 4. The p-value is less than (or equal to) alpha a 5. Base on this, we should reject the null hypothesis ✓hypothesis
5. Base on this, we should reject the null hypothesis
6. As such, the final conclusion is that...
✓hypothesis
O There is insufficient evidence to support the claim that the clothes a woman wears is a factor
in GPA.
There is sufficient evidence to support the claim that the clothes a woman wears is a factor in
GPA.
Transcribed Image Text:5. Base on this, we should reject the null hypothesis 6. As such, the final conclusion is that... ✓hypothesis O There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA. There is sufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.
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