1. For this study, we should use ANOVA Or 2. The test-statistic for this data = 3. The p-value for this sample = (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need the right answer to 2 & 3.

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
5
5
`H_0: mu_1 = mu_2 = mu_3`
`H_1:` At least two of the means differ from each other.
1. For this study, we should use ANOVA
6
5
6
6
6
6
6
6
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 `alpha = 0.1`.
2. The test-statistic for this data
=
6
7
8
7
9
9
7
9
Unemployed
10
10
9
3. The p-value for this sample=
4. The p-value is less than (or equal to) alpha ✓
OF
5. Base on this, we should reject the null hypothesis
9
10
10
9
10
(Please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
alpha
hypothesis
6. 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.
O There is insufficient evidence to support the claim that employment status is a factor in the
amount of sleep people get.
Transcribed Image Text: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 5 5 `H_0: mu_1 = mu_2 = mu_3` `H_1:` At least two of the means differ from each other. 1. For this study, we should use ANOVA 6 5 6 6 6 6 6 6 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 `alpha = 0.1`. 2. The test-statistic for this data = 6 7 8 7 9 9 7 9 Unemployed 10 10 9 3. The p-value for this sample= 4. The p-value is less than (or equal to) alpha ✓ OF 5. Base on this, we should reject the null hypothesis 9 10 10 9 10 (Please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) alpha hypothesis 6. 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. O 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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