A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 8 9 9 6 6 8 7 8 10 8 9 10 7 7 9 7 9 9 8 7 7 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01. H0: μ1=μ2=μ3H0: μ1=μ2=μ3 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 employment status is a factor in the amount of sleep people get. There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 8 9 9 6 6 8 7 8 10 8 9 10 7 7 9 7 9 9 8 7 7 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01. H0: μ1=μ2=μ3H0: μ1=μ2=μ3 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 employment status is a factor in the amount of sleep people get. There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey.
| Full Time Worker | Part Time Worker | Unemployed |
|---|---|---|
| 8 | 9 | 9 |
| 6 | 6 | 8 |
| 7 | 8 | 10 |
| 8 | 9 | 10 |
| 7 | 7 | 9 |
| 7 | 9 | 9 |
| 8 | 7 | 7 |
Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.
H0: μ1=μ2=μ3H0: μ1=μ2=μ3
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 employment status is a factor in the amount of sleep people get.
- There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
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