(Round all intermediate calculations to at least 4 decimal places.) A two-way an

ID: 3314090 • Letter: #

Question

(Round all intermediate calculations to at least 4 decimal places.) A two-way analysis of variance experiment with no interaction is conducted. Factor A has six levels (columns) and Factor B has eight levels (rows). The results include the following sum of squares terms: SST-313.3 SSA-224.2 SSE 51.8 Use Table 4 a. Construct an ANOVA table. (Round your answers except "df' to 2 decimal places.) ANOVA of sS df MS Fait at 5% Rows Columns Error Total b. At the 5% significance level, can you conclude that the row means differ? O No. since the value of the F statistic for Factor 8 is greater than the critical value O No, since the value of the F statistic for Factor B is less than the critical value. O Yes, since the value of the Fstatistic for Factor B is greater than the critical value. O Yes, since the value of the F statistic for Factor B is less than the critical value. c. At the 5% significance level, can you conclude that the column means differ? O Yes. since the value of the F statistic for Factor A is less than the ontical value O Yes, since the value of the F statistic for Factor A is greater than the critical value. O No. sinoe the value of the F statistic for Factor A is less than the oritical value O No. since the value of the F statistic for Factor A is greater than the critical value.

Explanation / Answer

Anova table as given as

S.c

F crit at 5%

Rows(B)

37.3

n1-1=7

ssb/df=5.32

msb/mse=2.37

0.93

Columns(A)

224.2

n2-1=5

ssa/df=44.84

msa/mse=19.90

0.89

error

51.8

2.25

total

313.3

b) no, scince the value of the f-statistics for factor A is less thsn the critical values

c) no, scince the value of the f-statistics for factor B is less thsn the critical values

thanks

S.c