In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...

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In a completely randomized design, 12 experimental units were used for the first treatment, 15 for...

In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0".

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

Treatments 1,300 --?-- --?-- ----?----- ---?------ ----?----

Error --?-- --?-- --?-- ----?----- ---?------ ----?----

Total 2,000 --?-- --?-- ----?----- ---?------ ----?----

At a .05 level of significance, is there a significant difference between the treatments?

The p-value is ?

What is your conclusion?

math Statistics-And-Probability

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Answer 1

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Answer #1

a) ANOVA TAble

SV	SS	Df	MSS	F	P value
Treatment	1300	3-1=2	1300/2 =650	650/15.91=40.85	0.0
Error	2000-1300 =700	47-3=44	700/44=15.91
Total	2000	47-1=46

Since p value is less than the level of significance , we reject null hypothesis and conclude that there is significant difference between means of three treatments

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Answer 2

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