Question

PLEASE ANSWER E-J!!!!!

Fill out the following table:

Table 1: ANOVA Table

Df SS MS F p-value

Treatment 2 ? ? ? 2.2e-16

Residual ? 27.22 ?

Total 149 464.32 ?

(a) How many groups must there be? (b) How many total subjects must there be? (c) What specific distribution does MST MSE have under the null hypothesis? (d) Do large or small values of F provide evidence against the null hypothesis? (e) ThisistheANOVAtablefortheirisdatasetwhencomparingthepetallengthsacrossthedifferent flower species. Provide the R code which verifies your entries in the ANOVA table. (f) State the null and alternative hypotheses in the context of this problem. (g) At the .001 significance level, is there evidence that the average petal length varies by species? Provide the p-value and interpret your conclusion in terms of the null and alternative hypotheses. (h) Based on the validity of the underlying assumptions of the ANOVA procedure, are you confident in your conclusion? Provide supporting evidence. (i) If there is evidence that the average petal length varies by species, calculate all pairwise confidence intervals at a 92% family-wise confidence level using the Tukey procedure. (j) Based on the intervals in (i), can you determine which species has the largest petal length and which species has the smallest petal length?

Answer 1