The last line is (Less/ greater), (reject / do not reject), (At least one of the

Question

The last line is (Less/ greater), (reject / do not reject), (At least one of the means is different/All of the population means are the same)

Thank you in advance

Quiz: Chapter 11 Quiz This Question: 1 pt 3 of 010 complele ' This Quiz: 8 pts possibe Source of Squares Dearees of Freedom Mean Sum of Squares b)How many ppu ationmean are bsing teated? vid in Total 134 click the icon towiewa table ot critical l-Scor" Crical F-scores for a-0 01 urSquares Freedom Squares Between 0 B. H.: All the means re equal. Nanc ct the maan D. H-: All the means re equal. OA. None of the mcans are equal he men are qua arc cqual OC. H:Not all the means ae equal. H:Ithe mcans arc squal. : Notall the means ar qual 52 6236 522473 474406 3800 3780 State the conclusion for -0.01. 15 526 50 4 AL 331 253 334 111 5526 4637 4.4) A818 3,901 341 328 3.182 626 S453 456S 4M. S754 3.523 3268 3226 3.l20 31031 5H PM Click to gelect your answerfs) Prin Done

Explanation / Answer

Ans:

a)

SS(within)=SS(total)-SS(error)=134-80=54

df(between)=df(total)-df(error)=23-18=5

MS(between)=80/5=16

MS(within)=54/18=3

F=MS(between)/MS(within)=16/3=5.333

b)As,df(between)=5,so there are 5+1=6 treatments or groups

So,6 populations means are being tested.

c)

Option D is correct.

H0:All the means are equal.

Ha:Not all the means are equal.

Significance level=0.01

critical F value=FINV(0.01,5,18)=4.248

As,F=5.333 is greater than 4.248,we reject null hypothesis.

We can conclude that atleast one of the means is different.

SS df MS F Between 80 5 16 5.333 Within 54 18 3 Total 134 23

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