Q. 3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 5 6. 2 10 4 10
Q. 3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 5 6. 2 10 4 10
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Chapter1: Starting With Matlab
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![Q.3 For the following data:
a) Compute SST, SSTR, SSE
b) Construct a one-way ANOVA table
c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude
that the means of the populations from which the samples are drawn are not the same.
Sample 1
Sample 2
Sample 3
Sample 4
11
16
6
2
10
7
4
10
3.
we have:
ng = 3 n3= 3 n4 = 3
Ta 24 = 1s Ty= 36 THa9
n z Enj = 12 Exz= IT;= &4
.....
Ex - (Ex:*/n =
SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) --
2.
SST =
12
SSE =
5sT - SSTR =
Fostatistic
df
MS 2
df
:عاطء
Souree
SS
MSTR/MSE
138
Treatment
where:
MSE- SSE/(n-k)
MSTR = SSTR/(K-1)
Enron
Tofal
df z ( 3, 8) caitical Valme s ?
Compare test- statistic to cv. Do you rejuctNull or Do not rejrit
what dees it mean ? write here](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F319348e8-ec3b-434b-beac-e2801422c409%2Fec8daab2-cc6c-496f-990c-546c0786e461%2Fqwuhdzi_processed.png&w=3840&q=75)
Transcribed Image Text:Q.3 For the following data:
a) Compute SST, SSTR, SSE
b) Construct a one-way ANOVA table
c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude
that the means of the populations from which the samples are drawn are not the same.
Sample 1
Sample 2
Sample 3
Sample 4
11
16
6
2
10
7
4
10
3.
we have:
ng = 3 n3= 3 n4 = 3
Ta 24 = 1s Ty= 36 THa9
n z Enj = 12 Exz= IT;= &4
.....
Ex - (Ex:*/n =
SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) --
2.
SST =
12
SSE =
5sT - SSTR =
Fostatistic
df
MS 2
df
:عاطء
Souree
SS
MSTR/MSE
138
Treatment
where:
MSE- SSE/(n-k)
MSTR = SSTR/(K-1)
Enron
Tofal
df z ( 3, 8) caitical Valme s ?
Compare test- statistic to cv. Do you rejuctNull or Do not rejrit
what dees it mean ? write here
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