The following data are from a completely randomized design.

	Treatment
	A	B	C
	162	144	126
	141	157	121
	165	128	137
	145	144	141
	148	138	151
	175	141	140
Sample mean	156	142	136
Sample variance	177.6	89.2	118.4

a. Compute the sum of squares between treatments (to the nearest whole number).

b. Compute the mean square between treatments (to decimal).

c. Compute the sum of squares due to error (to the nearest whole number).

d. Compute the mean square due to error (to decimal).

e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal place. Round F to two decimal places. Round your p-value to four decimal places.

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

f. At the 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

What is your conclusion?