Question

A randomized block design yielded the ANOVA table to the right. Complete parts a through g. Source Treatments Blocks Error Total df 5 2 10 17 SS 504 276 120 900 MS 100.8 138.0 12.0 F 8.400 11.500 a. How many blocks and treatments were used in the experiment? There were There were blocks and treatments used. b. How many observations were collected in the experiment? n=0 c. Specify the null and alternative hypotheses you would use to compare the treatment means. Choose the correct answer below. OA. HO H = H2 =H3 = H4 H5 vs. He: All of the treatment means differ. OB. Ho H1 H2 H3 H4 H5 = He vs. Ha: At least two treatment means differ. OC. Ho: 14 = H2 H3 H4 vs. Hg: None of the treatment means differ. OD. Ho: H H2 = H3 vs. Hy: At least two treatment means differ. d. What test statistic should be used to conduct the hypothesis test? OA. F=4.200 OC. F = 11.500 OB. F = 2.300 OD. F = 8.400

Answer 1

a) 3 blocks and 6 treatments

b)n=17+1 =18

c)

OB. Ho: Hy H2 H3 H4 Hs - He vs. Hy : At least two treatment means differ

d) option d) F=8.4

e)

O E. The rejection region is F> 5.64

f)

O B . Reject Ho. There is sufficient evidence to indicate that at least two treatment means differ.

g)

D. The distributions of observations corresponding to all the block-treatment combinations are normal, and their variances are equal.