Question

Consider the partially completed​ one-way ANOVA summary table below.

​a) Complete the remaining entries in the table. ​b) How many population means are being​ tested? ​c) Using alphaαequals=0.010.01​, what conclusions can be made concerning the population​ means?		Source	Sum of Squares	Degrees of Freedom	Mean Sum of Squares	F
		Between	129129	​?	​?	​?
		Within	​?	2020	​?
		Total	269269	2323

LOADING...

Click the icon to view a table of critical​ F-scores.

​a) Complete the ANOVA table below.

Source	Sum of Squares	Degrees of Freedom	Mean Sum of Squares	F
Between	129129	33	4343	6.1436.143
Within	140140	2020	77
Total	269269	2323

​(Type integers or decimals rounded to three decimal places as​ needed.)

​b) There are

33

population means being tested.

​c) What are the hypotheses for this​ test?

A.

H0​:

All the means are equal.

H1​:

Not all the means are equal.

B.

H0​:

None of the means are equal.

H1​:

All the means are equal.

C.

H0​:

All the means are equal.

H1​:

None of the means are equal.

D.

H0​:

Not all the means are equal.

H1​:

All the means are equal.Determine the critical​ F-score,

Upper F Subscript alphaFα​,

for this test.

Upper F Subscript alphaFαequals=nothing

​(Round to three decimal places as​ needed.)State the conclusion for

alphaαequals=0.010.01.

Since the​ F-test statistic is

▼

greater

less

than the critical​ F-score,

▼

do not reject

reject

the null hypothesis and conclude that

▼

Answer 1

Source	SS	df	MS	F
regression	129.00	3	43.000	6.143
error	140.00	20	7.000
total	269.00	23

b)There are 4 population means being tested. (since population means =df+1 =3+1=4)

for hypothesis option A is correct

H0​: All the means are equal.

H1​: Not all the means are equal.

critical​ F-score Fα​ =4.938

Since the​ F-test statistic is greater than the critical​ F-score, reject the null hypothesis and conclude that Not all the means are equal.