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.

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
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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