Solve a,b,c . Please solve within 35 minutes, proper explanation is a must

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Solve a,b,c . Please solve within 35 minutes, proper explanation is a must.

The following observations were obtained when conducting a two-way ANOVA experiment with no interaction.
Click here for the Excel Data File
Factor A
2
3
X; for Factor B
Factor B
1
4
1
2
4
1
2.250
2
10
10
10
9.500
3
15
14
12
15
14.000
9.000
X = 8.5833
Xị for Factor A
9.333
7.333
8.667
a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2
decimal places.)
SST
SSA
SB
SSE
b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal
places.)
MSA
MSB
MSE
Transcribed Image Text:The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Click here for the Excel Data File Factor A 2 3 X; for Factor B Factor B 1 4 1 2 4 1 2.250 2 10 10 10 9.500 3 15 14 12 15 14.000 9.000 X = 8.5833 Xị for Factor A 9.333 7.333 8.667 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) MSA MSB MSE
c. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS", "MS" to 2 decimal places,
"P' 3 decimal places.)
ANOVA
Source of Variation
df
MS
F
p-value
Rows
0.000
Columns
0.212
Error
Total
d. At the 5% significance level, do the levels of Factor B differ?
Yes, since we reject the null hypothesis.
No , since we reject the null hypothesis.
O Yes, since we do not reject the null hypothesis.
O No, since we do not reject the null hypothesis.
e. At the 5% significance level, do the levels of Factor A differ?
O Yes, since we reject the null hypothesis.
O No, since we reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
O No, since we do not reject the null hypothesis.
Transcribed Image Text:c. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS", "MS" to 2 decimal places, "P' 3 decimal places.) ANOVA Source of Variation df MS F p-value Rows 0.000 Columns 0.212 Error Total d. At the 5% significance level, do the levels of Factor B differ? Yes, since we reject the null hypothesis. No , since we reject the null hypothesis. O Yes, since we do not reject the null hypothesis. O No, since we do not reject the null hypothesis. e. At the 5% significance level, do the levels of Factor A differ? O Yes, since we reject the null hypothesis. O No, since we reject the null hypothesis. Yes, since we do not reject the null hypothesis. O No, since we do not reject the null hypothesis.
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