1 In a completely randomized design 12 experimental units we

1) In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary).

(Fill in for ?)

Source of Variation      Sum of Squares Degrees of Freedom

Treatments                           1400                            ?

Error ? ?

Total 2,100 ?

Mean Square               F      

         ?                         ?

         ?                        

At a .05 level of significance, is there a significant difference between the treatments?

What does the P-value = ?

2) To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

a) Construct an analysis of variance table (to 2 decimals, if necessary) Fill in for ?s

Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

b) Calculate the value of the test statistic (to 2 decimals)

c) P-value= ?

3) An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary).

(Fill in for ?)

a) P-value = ?

Solution