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) Usingalphaαequals=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
▼
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.
Consider the partially completed one-way ANOVA summary table below. a) Complete the remaining entries in the...
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 a = 0.05, what conclusions can be made concerning the population means? Sum of Squares Degrees of Freedom Mean Sum of Squares w Source Between Within Total Click the icon to view a table of critical F-scores for a = 0.05. a) Complete the ANOVA table below. Sum of Degrees of Mean Sum...
Consider the partially completed cne-way ANOVA summary table below. a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using α-0.05, what conclusions can be made concerning the population means? Source Between Within Total Sum of Squares De of Freedom Mean Sum of Squares 112 193 19 Click the icon to view a table of critical F-sccres for a 0.05. a) Complete the ANOVA table below. Sum of Degrees of Mean Sum of...
PLEASE ANSWER A THROUGH C PLEASE der the partially completed one-way ANOVA summary table below the remaining entries in the table. Sum of Squares Degrees of Freedom Mean Sum of Squares b) How many population means are being tested? c) Using a 0.05, what conclusions can be made concerning the Within Total 84 164 17 Click the icon to view a table of critical F-scores for ? = 0.05. a) C the ANOVA table below Sum of Degrees of Mean...
15) Fill in the missing highlighted entries in the partially completed one-way ANOVA table. What are the numerator and denominator degrees of freedom? At alpha=0.01, the critical value for this test is 4.67. What is your decision about this hypothesis test: do you reject the null hypothesis or not? Based on that decision, what is your interpretation: do the data support the claim, or not? Source of Variation Sum of Squares 32.96 Degrees of Freedom Mean Squared Error 4 Factor...
The ANOVA summary table for an experiment with six groups, with five values in each group, is shown to the right. Complete parts (a) through (d) below. Source Degrees of Freedom Sum of Squares Mean Square (Variance) F Among groups C −1 =55 SSA=150 MSA =3030 FSTAT =3.003.00 Within groups n- c = 2424 SSW =240 MSW =1010 Total N −1 =2929 SST = 390 a. At the 0.05 level of significance, state the decision rule...
21) Consider the partially completed one-way ANOVA summary table. Degrees of Mean Sum Freedom of Squares Sum of Source Squares Between 330 Within Total 1810 1 16 9 The F-test statistic for this ANOVA procedure is A) 2.33 B) 7.33 C) 5.67 D) 3.67
Use the accompanying partially completed two-way ANOVA summary table to complete parts a through e below. Click the icon to view the table a) Complete the two-way ANOVA table below. Sum of Degrees of Mean Sum of Source Squares Freedom Squares Factor A 140 Factor B Interaction 20 Error 360 Total 600 44 (Type integers or decimals.) b) How many replications are present for each cell? c) Using c = 0.01, is there significant interaction between Factors A and B?...
Please help with the following multiple choice 1. In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively: a. n and k. b. k and n. c. n − k and k − 1. d. k − 1 and n − k. 2. In ANOVA, the F-test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator...
3. Consider the partially completed two-way ANOVA summary table. Source Sum of Squares Degrees of Freedom Mean Sum of Squares Factor B Factor A 600 200 Interaction 144 Error 384 Total 1,288 23 The number of Factor A populations being compared for this ANOVA procedure is _ A) 5 B) 7 C) 4 D) 6
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