2. In an experiment to compare the tensile strengths of I 5 5 different types of

Question

2.

In an experiment to compare the tensile strengths of I 5 5 different types of copper wire, J 5 4 samples of each type were used. The between-samples and within-samples esti- mates of s2 were computed as MSTr 5 2673.3 and MSE 5 1094.2, respectively.

a. UsetheFtestatlevel.05totestH0:m1 5m2 5m3 5 m4 5 m5 versus Ha: at least two mi’s are unequal.

b. What can be said about the P-value for the test?

c) Suppose that the compression-strength observations on the fourth type of box in Example 10.1 had been 655.1, 748.7, 662.4, 679.0, 706.9, and 640.0 (obtained by adding 120 to each previous x4j). Assuming no change in the remaining observations, carry out an F test with a 5 .05.

In an experiment to compare the tensile strengths of I 5 5 different types of copper wire, J 5 4 samples of each type were used. The between-samples and within-samples esti- mates of s2 were computed as MSTr 5 2673.3 and MSE 5 1094.2, respectively.

how do you solve part c step by step? thank you

Explanation / Answer

(a) there are 5 treatments and each is replicated 4 times .

total df=5*4-1=19

Tr df=5-1=4

Error df=19-4=15

here we find F-statistic and F=MSTr/MSE=2673.3/1094.2=2.4432 with (4,15) df

(b) P-value=0.0919 ( using ms-excel command=FDIST(2.4432,4,15))

(c) pleas share the complete data of example 10.1 which you have mentioned.

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