The following data are from a completely randomized design.

	Treatment
	A	B	C
	162	142	126
	142	156	122
	165	124	138
	145	142	140
	148	136	150
	174	152	128
Sample mean	156	142	134
Sample variance	164.4	131.2	110.4

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 decimals). The -value is - Select your answer -less than 0.01between 0.01 and 0.025between 0.025 and 0.05between 0.05 and 0.10greater than 0.10Item 16 What is your conclusion? - Select your answer -Conclude that not all treatment means are equalDo not reject the assumption that the means for all three treatments are equal