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Determine the null hypothesis in ANOVA.

1. The results of statistical test produce a p-value of 0.95.  Would you reject the null hypothesis or fail to reject the null hypothesis?

      1. Reject the null hypothesis of equal means.

      2. Fail to reject the null hypothesis of equal means.

2. At a large commercial bakery, one of the measures used to evaluate employees is the number of broken cookies per 1000 produced.  The quality control department wants to determine if there is a relationship between years of experience and the broken cookie rate. Assume the job is repetitious, so after training, any improvement due to continued learning is likely offset by decreased motivation.

The broken cookie rates are calculated daily.  The results for 100 workers are given below:

  Years Since Training Period
<1 Year 1-4 Years >4 Years
Group 1 Group 2 Group 3
Broken Cookie Rate High 6 9 9
  Average 9 19 23
  Low 7 8 10

What is the null hypothesis to be tested?

      1. Broken Cookie Rate for Group 1 < Group 2 < Group 3

      2. Broken Cookie Rate for Group 1 > Group 2 > Group 3

      3. Broken Cookie Rate for Group 1 = Group 2 = Group 3

      4. Broken Cookie Rate for Group 1 ≠ Group 2 ≠ Group 3

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