4.53. Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor, hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:

Answer the following questions about this experiment.

(a) The sum of squares for the factor is ______.
(b). The number of degrees of freedom for the single factor in the experiment is______.

(c) The number of degrees of freedom for error is ______.

(d) The mean square for error is______.

(e) The value of the test statistic is______.

(f) If the significance level is 0.05, your conclusions are not to reject the null hypothesis. (Yes or No)
(g) An upper bound on the P-value for the test statistic is______.
(h) A lower bound on the P-value for the test statistic is______.
(i) Laura used ______ levels of the factor in this experiment.
(j) Laura replicated this experiment ______ times.
(k) Suppose that Laura had actually conducted this experiment as a randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation.
How much has blocking reduced the estimate of experimental error?

Transcribed Image Text:

Source DF SS MS F Factor 14.18 Error 37.75 Total 23 108.63