In a completely randomized design, 12 experimental units were used for the first

Question

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).

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

b) The p-value is Select : less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10?

c) What is your conclusion?
SelectConclude: not all treatment means are equal, Cannot reject the assumption all treatment means are equal?

a) Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 1,000 - - - Error - - - Total 1,700 -

Explanation / Answer

a)

total observations=12+15+20=n

there are k=3 treatments. so df of treatement=k-1=2,df of error=n-k=44

level of siginicance is 0.05

here F follows a F statistic with dfs 2,44

value of F=31.43

so pvalue=P[F2,44>31.43]=0

hence correct option is : less than 0.01

c) since p value<level of significance the conclusion is not all treatment means are equal [answer]

source of variation sum of sq degree of freedom mean sq F treatment 1000 2 1000/2=500 500/15.91=31.43 error 700 44 700/44=15.91 total 1700 12+15+20-1=46

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---