The following data are from a completely randomized design

The following data are from a completely randomized design.

Treatment
A	B	C
162	147	123
141	156	122
168	127	137
145	147	141
147	138	155
173	143	126
Sample mean	156	143	134
Sample variance	179.2	96.4	165.6

1. Compute the sum of squares between treatments.

2. Compute the mean square between treatments.

3. Compute the sum of squares due to error.

4. Compute the mean square due to error (to 1 decimal).

5. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places. 

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F
Treatments
Error
Total

6. At the  = .05 level of significance, test whether the means for the three treatments are equal. Calculate the value of the test statistic (to 2 decimals). The p-value is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 15 What is your conclusion?