In a completely randomized experimental design 11 experiment

In a completely randomized experimental design, 11 experimental units were used for each of the 4 treatments. Part of the ANOVA table is shown below.

Source of Variation     Sum of Squares   Degrees of Frdm Mean Square    F

Between Treatments             1,500                     _____?      _____?     _____?

Within Treatments (Error)      _____?                  _____?       _____?

Total                                      5,500

Fill in the blanks in the above ANOVA table. At a 5% level of significance test to determine whether there is a significant difference in the means of the four populations. What do you conclude?

Solution

In a completely randomized experimental design, 11 experimental units were used for each of the 4 treatments. Part of the ANOVA table is shown below.

Source of Variation     Sum of Squares   Degrees of Frdm Mean Square    F

Between Treatments             1,500                     _____?      _____?     _____?

Within Treatments (Error)      _____?                  _____?       _____?

Total                                      5,500

Fill in the blanks in the above ANOVA table. At a 5% level of significance test to determine whether there is a significant difference in the means of the four populations. What do you conclude?

Source

SS

Df

MS

F

treatment

1500

3

500

5.0

Error

4000

40

100

Total

5500

43

Table value at 5% level = F(3,40) = 2.839

Calculated F=5.0 > 2.839 the table value.

The null hypothesis is rejected.

We conclude that there is a significant difference in the means of the four populations.