Overview
Discussion Board 15 – Hypothesis Testing – ANOVA
1. You would like to see if there is a difference in the mean number of hours spent on email and correspondence for workers in 6 industries. Below represents the sample of 38 workers from the 6 industries. Construct a hypothesis test, complete the ANOVA table to answer the hypothesis questions as well as answering the answering the questions asked of the discussion board. Use a level of significance of .05.
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Source of |
Sum of |
Degrees |
Mean |
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|
Variation |
Squares |
of Freedom |
Square |
F |
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Treatments |
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59.3 |
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Error |
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Total |
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150.9 |
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Highlighted Information needed for the ANOVA table:
6 Groups38 people totalSSTR = 59.3SST = 150.9
A. What is the value of the test statistic (round to the nearest hundredth)?
B. What is the probability of the test statistic for this specific problem?
C. What conclusion will you come to? (just need to state Accept Ho or Reject Ho and Accept Ha – just put one of those 2 answers in the body of the discussion board, but you will have a more detailed solution (besides writing one of these statements you will write out in words what the conclusion means) on your worksheet that you will attach as a PDF). Use a level of significance of .05.
D. Using the critical value approach at what critical value will you start rejecting the null hypothesis?
© Chris O’Byrne 2024
**** Use the appropriate table or tables from our lecture notes to answer all questions that require values or probabilities***** © Chris O’Byrne 2024
***No probabilities generated from a calculator will be permitted/accepted (will not receive credit), only probabilities and values from your Z-tables (CH6), T-tables (CH8) and Chi Square (CH11) and F-tables (CH11) notes will be allowed. ***
When doing and showing your work for the PDF – it should be handwritten as if you are figuring out the problem on the exam – it doesn’t need to be typed up – and I prefer that you DON’T type it out and that you hand write it.
This Discussion Board is Due Wednesday, August 7th by 11PM.
When you answer the question put the answers in this order and label like this:
1A.
1B.
1C.
1D.