Question: 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.

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 6 7
6 9 8
6 9 8
6 6 8
7 8 7
7 6 7
7 8 10
8 9
8 10

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=0.05=0.05. H0:1=2=3H0:1=2=3 H1:H1:At least two of the means differ from each other.

  1. For this study, we should use Select an answer -Test T-Test 2-PropZInt 2-SampTTest 1-PropZInt ANOVA 1-PropZTest TInterval 2-PropZTest 2-SampTInt GOF-Test
  2. The test-statistic for this data = (Please show your answer to 3 decimal places.)
  3. The p-value for this sample = (Please show your answer to 4 decimal places.)
  4. The p-value is Select an answer greater than alpha less than (or equal to) alpha
  5. Base on this, we should Select an answer accept the null hypothesis reject the null hypothesis fail to reject the null hypothesis hypothesis
  6. 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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