Unformatted text preview: and alternative hypothesis
of the model utility test (Ftest), and carry out the model utility test at 0.01 level.
Answer)
The null hypothesis,
The alternative hypothesis,
The test statistic, at least one (
where ) The critical value,
At significance level .01, the null hypothesis is rejected because
model is judged useful.
(cf. Section „A Model Utility Test‟, p. 561) d. Find the 95% confidence interval for
Answer) ̂ . ̂ 5 of 7 . Therefore, the IOE 366 Fall 2012
Practice
Problem 3.
The accompanying data was obtained in an experiment to investigate whether compressive st rength of
concrete cylinders depends on the type of capping material used or the different batches. Each number is a
cell total ( ) based on K = 3 observations. Capping
Material (A) 1
2
3
Total ( ) 1
1847
1779
1806
5432 2
1942
1850
1892
5684 Batch(B)
3
4
1935 1891
1795 1785
1889 1891
5619 5567 5
1795
1626
1756
5177 Total ( )
9410
8835
9234
=27479 (a) Write down the linear model with main effects and twofactor interaction effect.
Answer) where
‟s are independent an...
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This note was uploaded on 04/04/2013 for the course IOE 366 taught by Professor Game during the Winter '08 term at University of Michigan.
 Winter '08
 GAME

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