Question 14.33

14.33 Use the statistic.

A study compared six groups with six observations per group. An statistic of 2.85 was reported.

  1. Give the degrees of freedom for this statistic and the entries from Table E that correspond to this distribution.
  2. Sketch a picture of this distribution with the information from the table included.
  3. Based on the table information, how would you report the -value?
  4. Can you reject the null hypothesis that the means are the same at the significance level? Explain your answer.
  5. Can you conclude that all pairs of means are different? Explain your answer.

14.33

(a) . (c) . (d) Reject ; the -value is smaller than . (e) No. A rejection of the null hypothesis only indicates that at least one mean is different, not all.