Question

The following data are from a completely randomized design. In the following calculations, use

α = 0.05.

	Treatment 1	Treatment 2	Treatment 3
	63	82	68
	46	72	53
	53	89	61
	46	69	54
xj	52	78	59
sj2	64.67	84.67	48.67

Find the value of the test statistic. (Round your answer to two decimal places.)

_________________.

Find the p-value. (Round your answer to three decimal places.)

p-value = _________.

(b)

Use Fisher's LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD = _________.

Find the pairwise absolute difference between sample means for each pair of treatments

x₁ − x_{2=______.}

x₁ − x_{3=_______.}

x₂ − x_{3=_______.}

Answer 1

For the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	4	208	52	64.66667
Column 2	4	312	78	84.66667
Column 3	4	236	59	48.66667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	1448	2	724	10.9697	0.003862	4.256495
Within Groups	594	9	66
Total	2042	11