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Unformatted text preview: effect for factor A is significant. . Therefore, we and then test the 0.01 significance level. (e) State null and alternative hypotheses,
Answer)
at least one Test statistic,
Critical value,
At significance level .01, the null hypothesis is rejected because
conclude that the main effect for factor B is significant. . Therefore, we (f) Suppose you refit the data without the twofactor interaction term. Obtain the new ANOVA table.
Source
A df
2 SS
11,573.38 MS
5786.69 B 4 17,930.09 4482.52 Error
Total 38
44 6450.84
35,954.31 169.76 and
Also, compared to the table in (b), please note that f
MSA/MSE
= 34.08
MSB/MSE
= 26.41
NA and (g) Using the additive model, make a recommendation of the levels of the factors needed to
maximize the response (compressive strength of concrete cylinder)? According to this
recommendation, what is your estimated compressive strength of concrete cylinder?
Answer)
Based on ̂
̅
̅ and ̂
̅
̅ , one can expect that the maximum strength can be
obtained when factor A is at level 1 and factor B is at level 2.
̂
The estimated strength, ̂
̂̂
̅
̅
̅
̅
̅
̅
̅
̅ 7 of 7...
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 Winter '08
 GAME

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