6. (Computer) When brass is used in a production, the modulus of elasticity, E,

Question

6. (Computer) When brass is used in a production, the modulus of elasticity, E, of the material is often important for the functionality. The modulus of elasticity for 6 different brass alloys are measured. 5 samples from each alloy are tested. The results are shown in the table below where the measured modulus of elasticity is given in GPa: Brass alloys M1 M2 M3 M4 M5 M6 82.5 82.7 92.2 96.5 88.9 75.6 83.7 81.98 93.8 89.2 78.1 80.9 78.9 6 92.1 94.292.2 106. 104, 95.2 836 94.5 87.4 91.4 87.3 100. 80.8 78.6 7 89.690.1 83.8 61) At the 5% significance level, test the different in average modulus of elasticity. 62) If appropriate, determine which brass alloys differ in average modulus of elasticity. Using -005

Explanation / Answer

We have given data like :

83.8  

Here we have to do one Way ANOVA :

Using excel , we can follow it as :

DATA ---> Data analysis ---> Slct ANOVA single factor.

Select all data in Input range .

Select any empty cell , in output range and hit on OK

This gives you output as :

Here we got p value = 0.0000

p value < significance level , so we rejct the null hypothesis .

That is there is difference in average modulus of elasticity .

M1 M2 M3 M4 M5 M6 82.5 82.7 92.2 96.5 88.9 75.6 83.7 81.9 106.8 93.8 89.2 78.1 80.9 78.9 104.6 92.1 94.2 92.2 95.2 83.6 94.5 87.4 91.4 87.2 80.8 78.6 100.7 89.6 90.1

83.8  

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