MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 |
|---|---|---|
| 6 | 6 | 7 |
| 5 | 6 | 7 |
| 8 | 9 | 9 |
| 7 | 6 | 8 |
| 8 | 8 | 8 |
| 8 | 8 | 8 |
| 6 | 6 | 8 |
| 8 | 7 | |
| 6 | 9 |
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 Select an answer 2-PropZTest 2-PropZInt 1-PropZInt 2-SampTInt 1-PropZTest T-Test χ²-Test ANOVA χ²GOF-Test TInterval 2-SampTTest
- 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 Select an answer less than (or equal to) alpha greater than alpha αα
- Base on this, we should Select an answer accept the null hypothesis fail to reject the null hypothesis reject the null hypothesis hypothesis
- As such, the final conclusion is that...
- There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
- There is sufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
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