1. For his science project, Sam decides to test the flammability of different ty

Question

1. For his science project, Sam decides to test the flammability of different types of fabrics (cotton, wool, silk, polyester) soaked in different kinds of liquids (Liquid 1, Liquid 2, Liquid 3) Cotton Wool Silk Polyester Total 26.3 Liquid 2 8 8.9 3.8 5.5 26.3 6.4 23.4 Tota 21.0 27.0 11.0 17.0 76.0 Liquid 7.0 10.0 4.2 5.1 Liquid 3 5.9 8.13.0 Complete the ANOVA table. Then, run the hypothesis tests at the 1% significance level. Interpret your results in terms of flaminability. You may use = 532.54.

Explanation / Answer

Ans:

ANOVA table:

As,p-value<0.01,,we reject null hypothesis.

There is sufficient evidence to conclude that there is difference in flammability of different types of fabrics(cotton,wool,silk,polyester).

Cotton Wool Silk Polyester liquid 1 7 10 4.2 5.1 liquid 2 8.1 8.9 3.8 5.5 liquid 3 5.9 8.1 3 6.4 Total= 21 27 11 17 SST= 51.207 SSTR= 45.333 SSE= 5.873

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